Knowledge (XXG)

Robert R. Jensen

Source ๐Ÿ“

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he was from 1985 to 1986 a visiting associate professor and is since 1986 a full professor. At Loyola he was from 2007 to 2012 the chair of the department of mathematics and statistics.
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in 1992, 2005, and 2013. He has given invited talks at universities and conferences around the world. In 1998 he was an Invited Speaker at the
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Jensen, Robert (1988). "The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations".
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Barron, E.N; Evans, L.C; Jensen, R. (1984). "Viscosity solutions of Isaacs' equations and differential games with Lipschitz controls".
409:"The quasiconvex envelope through first-order partial differential equations which characterize quasiconvexity of nonsmooth functions" 113:"The Pontryagin maximum principle from dynamic programming and viscosity solutions to first-order partial differential equations" 34: 266:
Barron, E. N.; Jensen, R. (1990). "Semicontinuous Viscosity Solutions for Hamiltonโ€“Jacobi Equations with Convex Hamiltonians".
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Bardi, Martino; Jensen, Robert (2002). "A Geometric Characterization of Viable Sets for Controlled Degenerate Diffusions".
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Barron, E. N.; Jensen, R. (1989). "Total risk aversion, stochastic optimal control, and differential games".
140:"A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations" 50: 38: 585: 550: 54: 204:"Uniqueness Criteria for Viscosity Solutions of Fully Nonlinear Elliptic Partial Differential Equations" 314:
Jensen, Robert (1993). "Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient".
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he was from 1977 to 1980 an assistant professor and from 1980 to 1987 an associate professor. At
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Jensen, Robert R. (1998). "Viscosity Solutions of Elliptic Partial Differential Equations".
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Finite difference approximation to the free boundary of a parabolic variational inequality
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From 1982 to 1986 Jensen held a Sloan Fellowship. He was a visiting member of Berkeley's
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Department of Mathematics and Statistics, Loyola University Chicago
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Department of Mathematics and Statistics, Loyola University Chicago
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Department of Mathematics and Statistics, Loyola University Chicago
22:(born 6 April 1949) is an American mathematician, specializing in 407:
Jensen, Robert R.; Goebel, Rafal; Barron, Emmanuel N. (2012).
289:"Optimal control and semicontinuous viscosity solutions" 33:
Jensen graduated in 1971 with B.S. in mathematics from
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Discrete and Continuous Dynamical Systems - Series B
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Jensen, R.; Lions, P.-L.; Souganidis, P. E. (1988).
111:Barron, Emmanuel Nicholas; Jensen, Robert (1986). 386:Transactions of the American Mathematical Society 117:Transactions of the American Mathematical Society 380:Barron, E. N.; Evans, L. C.; Jensen, R. (2008). 293:Proceedings of the American Mathematical Society 268:Communications in Partial Differential Equations 144:Proceedings of the American Mathematical Society 474:"Robert Jensen, Brief Professional Biography" 8: 591:Fellows of the American Mathematical Society 508:DOCUMENTA MATHEMATICA, Extra Volume ICM III 316:Archive for Rational Mechanics and Analysis 167:Archive for Rational Mechanics and Analysis 26:with applications to physics, engineering, 424: 397: 304: 219: 155: 128: 70:International Congress of Mathematicians 66:Mathematical Sciences Research Institute 24:nonlinear partial differential equations 556:Illinois Institute of Technology alumni 439: 53:'s Mathematics Research Center. At the 239:Applied Mathematics & Optimization 208:Indiana University Mathematics Journal 445: 443: 37:. He received in 1975 his Ph.D. from 7: 581:21st-century American mathematicians 576:20th-century American mathematicians 468: 466: 464: 287:Barron, E. N.; Jensen, R. (1991). 14: 571:Loyola University Chicago faculty 306:10.1090/S0002-9939-1991-1076572-8 157:10.1090/S0002-9939-1988-0934877-2 130:10.1090/S0002-9947-1986-0860384-4 84:Journal of Differential Equations 35:Illinois Institute of Technology 566:University of Kentucky faculty 561:Northwestern University alumni 1: 525:"Robert Jensen, Publications" 495:Mathematics Genealogy Project 399:10.1090/S0002-9947-07-04338-3 104:10.1016/0022-0396(84)90040-8 607: 426:10.3934/dcdsb.2012.17.1693 221:10.1512/iumj.1989.38.38030 280:10.1080/03605309908820745 59:Loyola University Chicago 45:under the supervision of 365:10.1023/A:1016596318432 202:Jensen, Robert (1989). 51:University of Wisconsin 39:Northwestern University 55:University of Kentucky 16:American mathematician 76:Selected publications 20:Robert Ronald Jensen 353:Set-Valued Analysis 328:1993ArRMA.123...51J 179:1988ArRMA.101....1J 96:1984JDE....53..213B 336:10.1007/BF00386368 251:10.1007/BF01448203 187:10.1007/BF00281780 510:. pp. 31โ€“38. 598: 532: 512: 511: 503: 497: 491:Robert R. Jensen 488: 482: 481: 470: 459: 458: 451:"Jensen, Robert" 447: 430: 428: 419:(6): 1693โ€“1706. 403: 401: 376: 359:(2/3): 129โ€“141. 347: 310: 308: 283: 262: 233: 223: 198: 161: 159: 134: 132: 107: 606: 605: 601: 600: 599: 597: 596: 595: 536: 535: 523: 520: 515: 505: 504: 500: 489: 485: 472: 471: 462: 449: 448: 441: 437: 406: 379: 350: 313: 286: 274:(12): 293โ€“309. 265: 236: 201: 164: 137: 110: 81: 78: 30:, and finance. 17: 12: 11: 5: 604: 602: 594: 593: 588: 583: 578: 573: 568: 563: 558: 553: 548: 538: 537: 534: 533: 519: 518:External links 516: 514: 513: 498: 483: 460: 438: 436: 433: 432: 431: 404: 377: 348: 311: 284: 263: 234: 214:(3): 629โ€“667. 199: 162: 135: 108: 90:(2): 213โ€“233. 77: 74: 47:Avner Friedman 15: 13: 10: 9: 6: 4: 3: 2: 603: 592: 589: 587: 586:PDE theorists 584: 582: 579: 577: 574: 572: 569: 567: 564: 562: 559: 557: 554: 552: 551:Living people 549: 547: 544: 543: 541: 530: 526: 522: 521: 517: 509: 502: 499: 496: 492: 487: 484: 479: 475: 469: 467: 465: 461: 456: 452: 446: 444: 440: 434: 427: 422: 418: 414: 410: 405: 400: 395: 391: 387: 383: 378: 374: 370: 366: 362: 358: 354: 349: 345: 341: 337: 333: 329: 325: 321: 317: 312: 307: 302: 298: 294: 290: 285: 281: 277: 273: 269: 264: 260: 256: 252: 248: 244: 240: 235: 231: 227: 222: 217: 213: 209: 205: 200: 196: 192: 188: 184: 180: 176: 172: 168: 163: 158: 153: 149: 145: 141: 136: 131: 126: 122: 118: 114: 109: 105: 101: 97: 93: 89: 85: 80: 79: 75: 73: 71: 67: 62: 60: 56: 52: 48: 44: 40: 36: 31: 29: 25: 21: 528: 507: 501: 486: 477: 454: 416: 412: 389: 385: 356: 352: 322:(1): 51โ€“74. 319: 315: 296: 292: 271: 267: 242: 238: 211: 207: 170: 166: 147: 143: 120: 116: 87: 83: 63: 42: 41:with thesis 32: 19: 18: 546:1949 births 245:: 313โ€“327. 173:(1): 1โ€“27. 72:in Berlin. 28:game theory 540:Categories 435:References 392:: 77โ€“102. 299:(2): 397. 150:(4): 975. 123:(2): 635. 373:118303784 259:120524020 344:92981091 230:24895404 493:at the 324:Bibcode 195:5776251 175:Bibcode 92:Bibcode 371:  342:  257:  228:  193:  369:S2CID 340:S2CID 255:S2CID 226:JSTOR 191:S2CID 421:doi 394:doi 390:360 361:doi 332:doi 320:123 301:doi 297:113 276:doi 247:doi 216:doi 183:doi 171:101 152:doi 148:102 125:doi 121:298 100:doi 542:: 527:. 476:. 463:^ 453:. 442:^ 417:17 415:. 411:. 388:. 384:. 367:. 357:10 355:. 338:. 330:. 318:. 295:. 291:. 272:15 270:. 253:. 243:19 241:. 224:. 212:38 210:. 206:. 189:. 181:. 169:. 146:. 142:. 119:. 115:. 98:. 88:53 86:. 531:. 480:. 457:. 429:. 423:: 402:. 396:: 375:. 363:: 346:. 334:: 326:: 309:. 303:: 282:. 278:: 261:. 249:: 232:. 218:: 197:. 185:: 177:: 160:. 154:: 133:. 127:: 106:. 102:: 94::

Index

nonlinear partial differential equations
game theory
Illinois Institute of Technology
Northwestern University
Avner Friedman
University of Wisconsin
University of Kentucky
Loyola University Chicago
Mathematical Sciences Research Institute
International Congress of Mathematicians
Bibcode
1984JDE....53..213B
doi
10.1016/0022-0396(84)90040-8
"The Pontryagin maximum principle from dynamic programming and viscosity solutions to first-order partial differential equations"
doi
10.1090/S0002-9947-1986-0860384-4
"A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations"
doi
10.1090/S0002-9939-1988-0934877-2
Bibcode
1988ArRMA.101....1J
doi
10.1007/BF00281780
S2CID
5776251
"Uniqueness Criteria for Viscosity Solutions of Fully Nonlinear Elliptic Partial Differential Equations"
doi
10.1512/iumj.1989.38.38030
JSTOR

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