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Hans Lewy

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Lewy is known for his contributions to partial differential equations. In 1957, his famous example of a second-order linear partial differential equation was so stunning and unexpected that the whole field steered in a new direction, as well as shaping modern analysis in a significant way. Based on
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on and analytical nature of its boundaries which is fully free or in part, free boundary problems of water wave fronts in hydrodynamics, and the proof of quadratic reciprocity theorem in number theory from 'hydrodynamical' perspective.
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He also worked on several complex variables in relation to nonlinear hyperbolic equations and elliptic equations, well-posedness for initial value problems of wave fronts (now commonly called
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and others have outlined some important changes to the theory and structure of the field. This was adopted by many analysts and mathematicians as a major development.
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by a side job doing railroad track maintenance. At Göttingen, he studied both mathematics and physics; his teachers there included
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for analytical data (the original problem was solved by Louis Nirenberg in 1949 as part of his PhD thesis), the extendibility of
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On the boundary behavior of holomorphic mappings (Lezione tenuta il 3 maggio 1976) (Lecture given on May 3, 1976)
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to leave Germany again. He was offered a position in Madrid, but declined it, fearing for the future there under
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Science and Its Times: Understanding the Social Significance of Scientific Discovery. Vol. VII: 1950 to present
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He retired from Berkeley in 1972, and in 1973 became one of two Ordway Professors of Mathematics at the
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Lewy, Hans (1957), "An example of a smooth linear partial differential equation without solution",
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Sherri Chasin Calvo (2000), "Politics Impinges upon Mathematics", in Neil Schlager (ed.),
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In 1950, Lewy was fired from Berkeley for refusing to sign a loyalty oath. He taught at
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Proceedings of the National Academy of Sciences of the United States of America
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Proceedings of the National Academy of Sciences of the United States of America
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Proceedings of the National Academy of Sciences of the United States of America
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and including his most important works, was published as the two volume work (
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and with the assistance of Hadamard found a two-year position in America at
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University of California, Berkeley College of Letters and Science faculty
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in 1986 for his work on partial differential equations. In 1986, the
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because it was too old-fashioned, supporting himself during the
1782: 1724: 860:"A note on harmonic functions and a hydrodynamical application" 694:"On differential geometry in the large. I. Minkowski's problem" 1174: 1188:"On the partial difference equations of mathematical physics" 379:) in the early 1930s, solutions of the classical problems of 747:; notes by J. W. Green from lectures by Hans Lewy, vi+96 pp. 1160:
On the partial difference equations of mathematical physics
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Members of the United States National Academy of Sciences
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Emergency Committee in Aid of Displaced Foreign Scholars
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Jewish emigrants from Nazi Germany to the United States
301:'s election as chancellor in 1933, Lewy was advised by 565:"A priori limitations for Monge-Ampère equations. II" 277:
At the recommendation of Courant, Lewy was granted a
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in 1922, after being advised to avoid the more local
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Fellows of the American Academy of Arts and Sciences
317:. At the end of that term, in 1935, he moved to the 281:, which he used in 1929 to travel to Rome and study 2184: 2101: 2026: 1949: 1848: 1817: 1405:. Vol. 2. World Scientific. pp. 264–310. 222:, on October 20, 1904. He began his studies at the 190:(20 October 1904 – 23 August 1988) was an American 171: 159: 141: 123: 109: 99: 89: 67: 42: 21: 1645:, notes by J. W. Green from lectures by Hans Lewy" 1559: 657:"Generalized integrals and differential equations" 510:"Generalized integrals and differential equations" 1148:by Phyllis Fox, circulated as a research report: 1077:" in their original language or translated form. 699:Transactions of the American Mathematical Society 662:Transactions of the American Mathematical Society 570:Transactions of the American Mathematical Society 441:Transactions of the American Mathematical Society 436:"A priori limitations for Monge-Ampère equations" 1749:. The biographical entry about Hans Lewy at the 1690:, vol. Collection number BANC MSS 91/147 cz 865:Proceedings of the American Mathematical Society 343:in 1952 and 1953 before being reinstated by the 200:theory of functions of several complex variables 1353:THE 1984/5 WOLF FOUNDATION PRIZE IN MATHEMATICS 805:"On the boundary behavior of minimal surfaces" 2323:Academic staff of the University of Göttingen 1794: 1650:Bulletin of the American Mathematical Society 1443:, Harcourt Brace Jovanovich, pp. 180–194 993:. With biographical essays by Helen Lewy and 941: 937: 902:Bulletin of the American Mathematical Society 773:Bulletin of the American Mathematical Society 478:Bulletin of the American Mathematical Society 8: 1616:1988, University of California: In Memoriam 360:. He died on August 23, 1988, in Berkeley. 1801: 1787: 1779: 1536:"Dr. Hans Lewy, 83, Mathematics Professor" 1165:Courant Institute of Mathematical Sciences 29: 18: 1662: 1589: 1587: 1073:The following works are included in his " 914: 877: 840: 830: 785: 711: 674: 637: 627: 582: 545: 535: 490: 453: 1479:"Hans Lewy. A brief biographical sketch" 1399:""Hans Lewy" prepared by S. Hildebrandt" 1768:MacTutor History of Mathematics Archive 1553: 1551: 1336: 1193:IBM Journal of Research and Development 729:Lewy, Hans; Green, John Willie (1939). 1342: 1340: 750: 404:in 1964, and was also a member of the 266:both became assistants to Courant and 1643:Aspects of the Calculus of Variations 1530: 1528: 1526: 1524: 1469: 1467: 1465: 1463: 1461: 1459: 1457: 1455: 1453: 1451: 1426: 1424: 1422: 997:, and commentaries on Lewy's work by 732:Aspects of the Calculus of Variations 406:American Academy of Arts and Sciences 154:Function of several complex variables 7: 2273:20th-century American mathematicians 408:. He became a foreign member of the 2303:Wolf Prize in Mathematics laureates 1708:Hans Lewy Interview October 7, 1981 932:A selection of his work, edited by 332:. He married Helen Crosby in 1947. 274:originated from that time in 1928. 2278:20th-century German mathematicians 1625:University of California, Berkeley 319:University of California, Berkeley 16:American mathematician (1904–1988) 14: 1326:Courant–Friedrichs–Lewy condition 1167:, pp. V + 76, archived from 879:10.1090/s0002-9939-1952-0049399-9 713:10.1090/s0002-9947-1938-1501942-3 676:10.1090/s0002-9947-1938-1501953-8 584:10.1090/s0002-9947-1937-1501906-9 455:10.1090/s0002-9947-1935-1501794-9 272:Courant-Friedrichs-Lewy condition 114:Courant–Friedrichs–Lewy condition 2231: 768:"Water waves on sloping beaches" 424:gave him an honorary doctorate. 2338:University of Minnesota faculty 1664:10.1090/s0002-9904-1940-07238-6 1491:, Contemporary Mathematicians, 1034:, Contemporary Mathematicians, 958:, Contemporary Mathematicians, 916:10.1090/s0002-9904-1959-10270-6 787:10.1090/s0002-9904-1946-08643-7 492:10.1090/s0002-9904-1936-06397-4 2318:University of Göttingen alumni 2293:American mathematical analysts 1306:Accademia Nazionale dei Lincei 1157:; Lewy, H. (September 1956) , 737:University of California Press 196:partial differential equations 150:partial differential equations 1: 1687:Guide to the Hans Lewy Papers 1379:Mathematics Genealogy Project 1439:, eds. (1990), "Hans Lewy", 402:National Academy of Sciences 1488:Hans Lewy Selecta. Volume 2 1031:Hans Lewy Selecta. Volume 2 955:Hans Lewy Selecta. Volume 1 2354: 1186:; Lewy, H. (March 1967) , 757:: CS1 maint: postscript ( 412:in 1972. He was awarded a 2227: 1811:Wolf Prize in Mathematics 1613:, in Krogh, David (ed.), 418:Wolf Prize in Mathematics 270:at Göttingen. The famous 181: 134: 37:(photo by George Bergman) 28: 2328:Brown University faculty 1773:University of St Andrews 1441:More Mathematical People 400:Lewy was elected to the 345:California Supreme Court 194:, known for his work on 83:United States of America 2268:Scientists from WrocĹ‚aw 1566:, Gale Group, pp.  1433:Alexanderson, Gerald L. 1050:, pp. xviii, 446, 895:—— (1959). 858:—— (1952). 803:—— (1951). 692:—— (1938). 655:—— (1938). 600:—— (1938). 563:—— (1937). 508:—— (1936). 471:—— (1936). 358:University of Minnesota 330:Aberdeen Proving Ground 224:University of Göttingen 104:University of Göttingen 2238:Mathematics portal 1961:Ilya Piatetski-Shapiro 279:Rockefeller Fellowship 2171:Jean-François Le Gall 1751:Enciclopedia Treccani 1737:Enciclopedia Treccani 1395:Hirzebruch, Friedrich 1254:Annals of Mathematics 1096:Mathematische Annalen 974:, pp. lxvi+357, 832:10.1073/pnas.37.2.103 629:10.1073/pnas.24.2.104 537:10.1073/pnas.22.6.377 414:Leroy P. Steele Prize 232:Weimar hyperinflation 228:University of Breslau 146:Mathematical analysis 2088:Phillip A. Griffiths 1926:Friedrich Hirzebruch 1759:Robertson, Edmund F. 1732:"Lewy ‹lĂ©evi›, Hans" 1682:The Bancroft Library 1639:Reid, W. T. (1940). 410:Accademia dei Lincei 264:Kurt Otto Friedrichs 79:Berkeley, California 2298:Rockefeller Fellows 2161:Alexander Beilinson 1757:O'Connor, John J.; 1706:(October 7, 1981), 1544:, September 2, 1988 1483:Kinderlehrer, David 1475:Kinderlehrer, David 1431:Albers, Donald J.; 1298:Lewy, Hans (1977), 1214:10.1147/rd.112.0215 1206:1967IBMJ...11..215C 1171:on October 23, 2008 1109:1928MatAn.100...32C 1089:; Lewy, H. (1928), 1026:Kinderlehrer, David 950:Kinderlehrer, David 823:1951PNAS...37..103L 766:Lewy, Hans (1946). 745:2027/wu.89062910575 620:1938PNAS...24..104L 528:1936PNAS...22..377L 434:Lewy, Hans (1935). 350:Tolman v. Underhill 341:Stanford University 260:Alexander Ostrowski 210:Lewy was born to a 2192:Simon K. Donaldson 2119:Michael Aschbacher 2078:Hillel Furstenberg 1740:(in Italian), 2008 1541:The New York Times 1391:Chern, Shiing-Shen 1117:10.1007/BF01448839 942:Kinderlehrer 2002b 938:Kinderlehrer 2002a 934:David Kinderlehrer 422:University of Bonn 337:Harvard University 287:Tullio Levi-Civita 283:algebraic geometry 176:David Kinderlehrer 35:Hans Lewy in 1975 2245: 2244: 2208:Ingrid Daubechies 2165:Vladimir Drinfeld 2155:Charles Fefferman 2038:Jean-Pierre Serre 1886:Shiing-Shen Chern 1860:Andrey Kolmogorov 1809:Laureates of the 1704:Dynkin, Eugene B. 1577:978-0-7876-3939-6 1505:Birkhäuser Verlag 1048:Birkhäuser Verlag 972:Birkhäuser Verlag 396:Awards and honors 385:Hermann Minkowski 291:Federigo Enriques 185: 184: 172:Doctoral students 136:Scientific career 2345: 2288:Complex analysts 2236: 2235: 2196:Yakov Eliashberg 2092:David B. Mumford 2064:Grigory Margulis 1993:Robert Langlands 1971:John G. Thompson 1967:Lennart Carleson 1936:Alberto CalderĂłn 1906:Samuel Eilenberg 1896:Kunihiko Kodaira 1803: 1796: 1789: 1780: 1775: 1748: 1747: 1745: 1725:eCommons@Cornell 1718: 1698: 1697: 1695: 1669: 1668: 1666: 1636: 1630: 1628: 1627:, pp. 85–87 1591: 1582: 1580: 1565: 1555: 1546: 1545: 1532: 1519: 1517: 1471: 1446: 1444: 1428: 1417: 1416: 1387: 1381: 1372: 1366: 1364: 1363: 1361: 1344: 1309: 1293: 1243: 1242: 1241: 1232:, archived from 1172: 1143: 1068: 992: 928: 918: 891: 881: 854: 844: 834: 799: 789: 762: 756: 748: 725: 715: 688: 678: 651: 641: 631: 596: 586: 559: 549: 539: 504: 494: 467: 457: 389:minimal surfaces 315:Brown University 307:Francisco Franco 303:Herbert Busemann 295:Jacques Hadamard 161:Doctoral advisor 74: 53:October 20, 1904 52: 50: 33: 19: 2353: 2352: 2348: 2347: 2346: 2344: 2343: 2342: 2248: 2247: 2246: 2241: 2230: 2223: 2180: 2145:James G. Arthur 2123:Luis Caffarelli 2109:Dennis Sullivan 2097: 2044:Vladimir Arnold 2022: 1957:Ennio De Giorgi 1945: 1876:Hassler Whitney 1844: 1813: 1807: 1756: 1743: 1741: 1730: 1723:, available at 1721:audio interview 1702: 1693: 1691: 1680: 1677: 1672: 1638: 1637: 1633: 1593: 1592: 1585: 1578: 1557: 1556: 1549: 1534: 1533: 1522: 1515: 1473: 1472: 1449: 1437:Reid, Constance 1430: 1429: 1420: 1413: 1397:, eds. (2001). 1389: 1388: 1384: 1373: 1369: 1359: 1357: 1348:Wolf Foundation 1346: 1345: 1338: 1334: 1317: 1297: 1267:10.2307/1970121 1250: 1239: 1237: 1178: 1149: 1081: 1058: 1028:, ed. (2002b), 1024: 1019:François Treves 1015:Louis Nirenberg 1011:Richard MacCamy 982: 952:, ed. (2002a), 948: 894: 857: 802: 765: 749: 728: 691: 654: 599: 562: 507: 485:(10): 689–692. 470: 433: 430: 416:in 1979, and a 398: 366:Louis Nirenberg 240:Richard Courant 208: 166:Richard Courant 100:Alma mater 85: 76: 72: 71:August 23, 1988 63: 54: 48: 46: 38: 36: 24: 17: 12: 11: 5: 2351: 2349: 2341: 2340: 2335: 2330: 2325: 2320: 2315: 2310: 2305: 2300: 2295: 2290: 2285: 2280: 2275: 2270: 2265: 2260: 2250: 2249: 2243: 2242: 2228: 2225: 2224: 2222: 2221: 2211: 2205: 2202:George Lusztig 2199: 2188: 2186: 2182: 2181: 2179: 2178: 2175:Gregory Lawler 2168: 2158: 2151:Richard Schoen 2148: 2142: 2136: 2126: 2116: 2113:Shing-Tung Yau 2105: 2103: 2099: 2098: 2096: 2095: 2084:Pierre Deligne 2081: 2071: 2068:Sergei Novikov 2061: 2051: 2048:Saharon Shelah 2041: 2030: 2028: 2024: 2023: 2021: 2020: 2017:Elias M. Stein 2010: 2007:Yakov G. 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Siegel 1825:Israel Gelfand 1821: 1819: 1815: 1814: 1808: 1806: 1805: 1798: 1791: 1783: 1777: 1776: 1754: 1728: 1700: 1676: 1675:External links 1673: 1671: 1670: 1657:(7): 595–596. 1631: 1583: 1576: 1547: 1520: 1513: 1447: 1418: 1411: 1382: 1367: 1335: 1333: 1330: 1329: 1328: 1323: 1321:Lewy's example 1316: 1313: 1312: 1311: 1295: 1261:(1): 155–158, 1248: 1200:(2): 215–234, 1184:Friedrichs, K. 1155:Friedrichs, K. 1087:Friedrichs, K. 1071: 1070: 1056: 1022: 995:Constance Reid 980: 930: 929: 892: 855: 817:(2): 103–110. 800: 780:(9): 737–775. 763: 726: 706:(2): 258–270. 689: 669:(3): 437–464. 652: 614:(2): 104–106. 597: 560: 522:(6): 377–381. 505: 468: 429: 426: 397: 394: 377:Sobolev spaces 370:Lars Hörmander 364:this example, 207: 204: 183: 182: 179: 178: 173: 169: 168: 163: 157: 156: 143: 139: 138: 132: 131: 125: 121: 120: 118:Lewy's example 111: 110:Known for 107: 106: 101: 97: 96: 91: 87: 86: 77: 75:(aged 83) 69: 65: 64: 55: 44: 40: 39: 34: 26: 25: 22: 15: 13: 10: 9: 6: 4: 3: 2: 2350: 2339: 2336: 2334: 2331: 2329: 2326: 2324: 2321: 2319: 2316: 2314: 2311: 2309: 2306: 2304: 2301: 2299: 2296: 2294: 2291: 2289: 2286: 2284: 2281: 2279: 2276: 2274: 2271: 2269: 2266: 2264: 2261: 2259: 2256: 2255: 2253: 2240: 2239: 2234: 2226: 2219: 2215: 2212: 2209: 2206: 2203: 2200: 2197: 2193: 2190: 2189: 2187: 2183: 2176: 2172: 2169: 2166: 2162: 2159: 2156: 2152: 2149: 2146: 2143: 2140: 2137: 2134: 2133:Michael Artin 2130: 2129:George Mostow 2127: 2124: 2120: 2117: 2114: 2110: 2107: 2106: 2104: 2100: 2093: 2089: 2085: 2082: 2079: 2075: 2074:Stephen Smale 2072: 2069: 2065: 2062: 2059: 2055: 2052: 2049: 2045: 2042: 2039: 2035: 2032: 2031: 2029: 2025: 2018: 2014: 2013:LászlĂł Lovász 2011: 2008: 2004: 2003:Joseph Keller 2001: 1998: 1994: 1991: 1988: 1985: 1982: 1978: 1975: 1972: 1968: 1965: 1962: 1958: 1955: 1954: 1952: 1948: 1941: 1937: 1934: 1931: 1927: 1924: 1921: 1917: 1914: 1911: 1907: 1904: 1901: 1897: 1894: 1891: 1887: 1884: 1881: 1877: 1874: 1871: 1870:Oscar Zariski 1867: 1864: 1861: 1857: 1854: 1853: 1851: 1847: 1840: 1836: 1833: 1830: 1826: 1823: 1822: 1820: 1816: 1812: 1804: 1799: 1797: 1792: 1790: 1785: 1784: 1781: 1774: 1770: 1769: 1764: 1760: 1755: 1752: 1739: 1738: 1733: 1729: 1726: 1722: 1717: 1713: 1709: 1705: 1701: 1689: 1688: 1683: 1679: 1678: 1674: 1665: 1660: 1656: 1652: 1651: 1646: 1644: 1635: 1632: 1626: 1622: 1618: 1617: 1612: 1608: 1607:Lehmer, D. H. 1604: 1600: 1599:J. L., Kelley 1596: 1590: 1588: 1584: 1579: 1573: 1569: 1564: 1563: 1554: 1552: 1548: 1543: 1542: 1537: 1531: 1529: 1527: 1525: 1521: 1516: 1514:0-8176-3524-6 1510: 1506: 1502: 1498: 1494: 1490: 1489: 1484: 1480: 1476: 1470: 1468: 1466: 1464: 1462: 1460: 1458: 1456: 1454: 1452: 1448: 1442: 1438: 1434: 1427: 1425: 1423: 1419: 1414: 1412:9789812811769 1408: 1404: 1400: 1396: 1392: 1386: 1383: 1380: 1376: 1371: 1368: 1360:September 14, 1355: 1354: 1349: 1343: 1341: 1337: 1331: 1327: 1324: 1322: 1319: 1318: 1314: 1307: 1303: 1302: 1296: 1292: 1288: 1284: 1280: 1276: 1272: 1268: 1264: 1260: 1256: 1255: 1249: 1247: 1236:on 2017-01-25 1235: 1231: 1227: 1223: 1219: 1215: 1211: 1207: 1203: 1199: 1195: 1194: 1189: 1185: 1181: 1176: 1170: 1166: 1162: 1161: 1156: 1152: 1147: 1142: 1138: 1134: 1130: 1126: 1122: 1118: 1114: 1110: 1106: 1102: 1099:(in German), 1098: 1097: 1092: 1088: 1084: 1080: 1079: 1078: 1076: 1067: 1063: 1059: 1057:0-8176-3524-6 1053: 1049: 1045: 1041: 1037: 1033: 1032: 1027: 1023: 1020: 1016: 1012: 1008: 1004: 1000: 996: 991: 987: 983: 981:0-8176-3523-8 977: 973: 969: 965: 961: 957: 956: 951: 947: 946: 945: 943: 939: 935: 926: 922: 917: 912: 908: 904: 903: 898: 893: 889: 885: 880: 875: 871: 867: 866: 861: 856: 852: 848: 843: 838: 833: 828: 824: 820: 816: 812: 811: 806: 801: 797: 793: 788: 783: 779: 775: 774: 769: 764: 760: 754: 746: 742: 738: 734: 733: 727: 723: 719: 714: 709: 705: 701: 700: 695: 690: 686: 682: 677: 672: 668: 664: 663: 658: 653: 649: 645: 640: 635: 630: 625: 621: 617: 613: 609: 608: 603: 598: 594: 590: 585: 580: 576: 572: 571: 566: 561: 557: 553: 548: 543: 538: 533: 529: 525: 521: 517: 516: 511: 506: 502: 498: 493: 488: 484: 480: 479: 474: 469: 465: 461: 456: 451: 447: 443: 442: 437: 432: 431: 427: 425: 423: 419: 415: 411: 407: 403: 395: 393: 390: 386: 382: 378: 373: 371: 367: 361: 359: 354: 352: 351: 346: 342: 338: 333: 331: 327: 322: 320: 316: 312: 308: 304: 300: 296: 292: 288: 284: 280: 275: 273: 269: 268:privatdozents 265: 261: 257: 253: 252:Edmund Landau 249: 248:David Hilbert 245: 241: 237: 233: 229: 225: 221: 217: 213: 205: 203: 201: 197: 193: 192:mathematician 189: 180: 177: 174: 170: 167: 164: 162: 158: 155: 151: 147: 144: 140: 137: 133: 129: 126: 122: 119: 115: 112: 108: 105: 102: 98: 95: 92: 88: 84: 80: 70: 66: 62: 58: 45: 41: 32: 27: 20: 2229: 2139:Peter Sarnak 1997:Andrew Wiles 1987:JĂĽrgen Moser 1981:Jacques Tits 1910:Atle Selberg 1899: 1866:Lars Ahlfors 1856:Henri Cartan 1766: 1742:, retrieved 1736: 1707: 1692:, retrieved 1686: 1654: 1648: 1642: 1634: 1621:Berkeley, CA 1615: 1561: 1539: 1487: 1440: 1402: 1385: 1370: 1358:, retrieved 1352: 1300: 1258: 1252: 1238:, retrieved 1234:the original 1197: 1191: 1169:the original 1159: 1103:(1): 32–74, 1100: 1094: 1074: 1072: 1030: 1003:Peter D. Lax 999:Erhard Heinz 954: 931: 909:(2): 37–58. 906: 900: 869: 863: 814: 808: 777: 771: 735:. Berkeley: 731: 703: 697: 666: 660: 611: 605: 574: 568: 519: 513: 482: 476: 445: 439: 428:Publications 399: 381:Hermann Weyl 374: 362: 355: 348: 334: 326:World War II 323: 276: 256:Emmy Noether 244:James Franck 209: 187: 186: 135: 73:(1988-08-23) 2263:1988 deaths 2258:1904 births 1940:John Milnor 1763:"Hans Lewy" 1595:Protter, M. 1356:(in Hebrew) 1308:, p. 8 1180:Courant, R. 1151:Courant, R. 1083:Courant, R. 872:: 111–113. 577:: 365–374. 448:: 417–434. 198:and on the 90:Nationality 2252:Categories 2218:Adi Shamir 2054:Mikio Sato 2034:Raoul Bott 1916:Kiyosi ItĂ´ 1890:Paul ErdĹ‘s 1880:Mark Krein 1839:AndrĂ© Weil 1835:Jean Leray 1727:from the . 1716:1813/17262 1403:Wolf Prize 1332:References 1291:0078.08104 1240:2011-07-26 1230:0145.40402 1125:54.0486.01 1066:1147.01335 1007:Jean Leray 990:1132.01312 214:family in 128:Wolf Prize 49:1904-10-20 2214:Noga Alon 2080:(2006/07) 2060:(2002/03) 2058:John Tate 2009:(1996/97) 1999:(1995/96) 1989:(1994/95) 1920:Peter Lax 1902:(1984/85) 1900:Hans Lewy 1892:(1983/84) 1641:"Review: 1501:Stuttgart 1375:Hans Lewy 1141:120760331 1044:Stuttgart 968:Stuttgart 753:cite book 188:Hans Lewy 23:Hans Lewy 1744:July 26, 1684:(2009), 1609:(1988), 1603:Kato, T. 1477:(2002), 1350:(2003), 1315:See also 851:16578356 648:16588189 556:16588088 297:. After 236:Max Born 94:American 1694:July 9, 1568:242–244 1485:(ed.), 1377:at the 1283:0088629 1275:1970121 1222:0213764 1202:Bibcode 1133:1512478 1105:Bibcode 1075:Selecta 940:) and ( 925:0104048 888:0049399 842:1063312 819:Bibcode 796:0022134 722:1501942 685:1501953 639:1077039 616:Bibcode 593:1501906 547:1076784 524:Bibcode 501:1563404 464:1501794 324:During 220:Silesia 216:Breslau 61:Prussia 57:Breslau 2220:(2024) 2210:(2023) 2204:(2022) 2198:(2020) 2177:(2019) 2167:(2018) 2157:(2017) 2147:(2015) 2141:(2014) 2135:(2013) 2125:(2012) 2115:(2010) 2094:(2008) 2070:(2005) 2050:(2001) 2040:(2000) 2019:(1999) 1983:(1993) 1973:(1992) 1963:(1990) 1942:(1989) 1932:(1988) 1922:(1987) 1912:(1986) 1882:(1982) 1872:(1981) 1862:(1980) 1841:(1979) 1831:(1978) 1574:  1511:  1493:Boston 1409:  1289:  1281:  1273:  1228:  1220:  1146:German 1139:  1131:  1123:  1064:  1054:  1036:Boston 988:  978:  960:Boston 923:  886:  849:  839:  794:  720:  683:  646:  636:  591:  554:  544:  499:  462:  299:Hitler 258:, and 212:Jewish 142:Fields 130:(1986) 124:Awards 2185:2020s 2102:2010s 2027:2000s 1950:1990s 1849:1980s 1818:1970s 1719:. An 1497:Basel 1481:, in 1271:JSTOR 1137:S2CID 1040:Basel 964:Basel 347:case 285:with 1746:2011 1696:2011 1572:ISBN 1509:ISBN 1407:ISBN 1362:2013 1246:here 1177:as: 1052:ISBN 1017:and 976:ISBN 847:PMID 759:link 644:PMID 552:PMID 383:and 339:and 289:and 206:Life 68:Died 43:Born 1712:hdl 1659:doi 1287:Zbl 1263:doi 1226:Zbl 1210:doi 1175:IBM 1121:JFM 1113:doi 1101:100 1062:Zbl 986:Zbl 911:doi 874:doi 837:PMC 827:doi 782:doi 741:hdl 708:doi 671:doi 634:PMC 624:doi 579:doi 542:PMC 532:doi 487:doi 450:doi 2254:: 2216:/ 2194:/ 2173:/ 2163:/ 2153:/ 2131:/ 2121:/ 2111:/ 2090:/ 2086:/ 2076:/ 2066:/ 2056:/ 2046:/ 2036:/ 2015:/ 2005:/ 1995:/ 1979:/ 1969:/ 1959:/ 1938:/ 1928:/ 1918:/ 1908:/ 1898:/ 1888:/ 1878:/ 1868:/ 1858:/ 1837:/ 1827:/ 1771:, 1765:, 1761:, 1734:, 1655:46 1653:. 1647:. 1623:: 1619:, 1605:; 1601:; 1597:; 1586:^ 1570:, 1550:^ 1538:, 1523:^ 1507:, 1503:: 1450:^ 1435:; 1421:^ 1401:. 1393:; 1339:^ 1285:, 1279:MR 1277:, 1269:, 1259:66 1257:, 1224:, 1218:MR 1216:, 1208:, 1198:11 1196:, 1190:, 1182:; 1153:; 1135:, 1129:MR 1127:, 1119:, 1111:, 1093:, 1085:; 1060:, 1046:: 1013:, 1009:, 1005:, 1001:, 984:, 970:: 944:) 921:MR 919:. 907:65 905:. 899:. 884:MR 882:. 868:. 862:. 845:. 835:. 825:. 815:37 813:. 807:. 792:MR 790:. 778:52 776:. 770:. 755:}} 751:{{ 739:. 718:MR 716:. 704:43 702:. 696:. 681:MR 679:. 667:43 665:. 659:. 642:. 632:. 622:. 612:24 610:. 604:. 589:MR 587:. 575:41 573:. 567:. 550:. 540:. 530:. 520:22 518:. 512:. 497:MR 495:. 483:42 481:. 475:. 460:MR 458:. 446:37 444:. 438:. 368:, 353:. 321:. 254:, 250:, 246:, 242:, 238:, 218:, 202:. 152:, 148:, 116:, 81:, 59:, 1802:e 1795:t 1788:v 1753:. 1714:: 1699:. 1667:. 1661:: 1629:. 1581:. 1518:. 1499:- 1495:- 1445:. 1415:. 1365:. 1310:. 1294:. 1265:: 1212:: 1204:: 1115:: 1107:: 1069:. 1042:- 1038:- 1021:. 966:- 962:- 927:. 913:: 890:. 876:: 870:3 853:. 829:: 821:: 798:. 784:: 761:) 743:: 724:. 710:: 687:. 673:: 650:. 626:: 618:: 595:. 581:: 558:. 534:: 526:: 503:. 489:: 466:. 452:: 51:) 47:(

Index


Breslau
Prussia
Berkeley, California
United States of America
American
University of Göttingen
Courant–Friedrichs–Lewy condition
Lewy's example
Wolf Prize
Mathematical analysis
partial differential equations
Function of several complex variables
Doctoral advisor
Richard Courant
David Kinderlehrer
mathematician
partial differential equations
theory of functions of several complex variables
Jewish
Breslau
Silesia
University of Göttingen
University of Breslau
Weimar hyperinflation
Max Born
Richard Courant
James Franck
David Hilbert
Edmund Landau

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