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Madrid, Spain, Isaac Newton
Institute for Mathematical Sciences, Cambridge, England,(2011), and at international conferences in Edinburgh, UK (2000), St. Petersburg, Russia, Gargnano, Italy, Hong Kong, China (2001), Cortona and Pisa, Italy (2002), Banff Center and the Fields Institute, Toronto, Canada, and Seville, Spain (2003), IMA, Minneapolis, Helsinki, Finland, Fethiye, Turkey (2004), Catania, Italy (2005), Banff, Canada, Sapporo, Japan (2006), Cracow, Poland, vancouver, Canada (2007), Ecole Normale, Paris, France, Orlando, Florida, Cortona, Italy, Shanghai, China (2008), Linz, Austria, Manchester, England (2009), Valparaiso, Chile, Wuhan, China, Dresden, Germany, Pisa, Bologna, Italy (2010), Trieste, Gargnano, Italy (2011).
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He was a principal speaker at the summer AMS-SIAM research conferences in
Boulder, CO (1999), South Hadley, MA (1998, 1995), Seattle, WA (1995), at programs on Inverse Problems at MSRI, Berkeley, CA(2001), IPAM, Los Angeles (2003, 2005, 2006), RICAM, Linz, Austria (2009), Universidad Autonoma de
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He has given colloquium talks at the
Courant Institute of New York University, Northwestern University, City University of Hong Kong, Fudan University (China), Universities of Goettingen, Muenster (Germany), Florence, Milan, Rome, Trieste (Italy), Linz (Austria), Kyoto and Tokyo (Japan).
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During the last 15 years, he delivered approximately 90 invited talks at international and national conferences and universities in
Austria, Canada, China, Finland, France, Germany, Italy, Japan, Poland, Russia, Sweden, Switzerland, South Korea, Tunisia, and United Kingdom.
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Inverse problems of gravimetry (general uniqueness conditions and local solvability theorems) and related problems of imaging including prospecting active part of the brain and the source of noise of the aircraft from exterior measurements of electromagnetic and acoustical
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Since 1990, his research has been supported by the NSF. The latest grant was: "Stability issues in some biomedical, financial, and geophysical inverse problems" NSF DMS-2008154 (2020-2023) $ 255,214
57:(uniqueness of discontinuous conductivity and numerical methods) and their applications to medical imaging and nondestructive testing of materials for cracks and inclusions.
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Finding constitutional laws from experimental data (reconstructing nonlinear partial differential equation from all or some boundary data).
35:, uniqueness of continuation and Carleman estimates, nonlinear functional analysis and calculus of variation). He was a distinguished
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Applicable
Analysis, Inverse Problems and Imaging, Evolution Equations and Control Theory, J. Inverse Ill-Posed Problems.
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Uniqueness of the continuation for hyperbolic equations and systems of mathematical physics.
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Inverse scattering problems (uniqueness and stability of penetrable and soft scatterers).
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Increased stability in the continuation of solutions to the
Helmholtz equation
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97:, Applied Mathematical Sciences (Springer-Verlag), Vol 127, 2nd ed., 2006.
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in print or in preparation as of late 2005, which include:
91:(with Tomasz Hrycak), Inverse Problems, 20(2004), 697-712.
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He was on editorial boards of the international journals
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Inverse
Problems for Partial Differential Equations
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