This volume reflects the variety of areas where Maz'ya's results are fundamental, influential and/or pioneering. New advantages in such areas are presented by world-recognized experts and include, in particularly, Beurling's minimum principle, inverse hyperbolic problems, degenerate oblique derivative problems, the Lp-contractivity of the generated semigroups, some class of singular integral operators, general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities,domains with rough boundaries, integral and supremum operators, finite rank Toeplitz operators, etc.
Professor Maz'ya has received numerous awards for his outstanding contributions, in particular, the Humboldt Research Prize (1999), the Verdaguer Prize of the French Academy of Sciences (2003)
Optimal Control of a Biharmonic Obstacle Problem.- Minimal Thinness and the Beurling Minimum Principle.- Progress in the Problem of the -Contractivity of Semigroups for Partial Differential Operators.- Uniqueness and Nonuniqueness in Inverse Hyperbolic Problems and the Black Hole Phenomenon.- Global Green#x2019;s Function Estimates.- On Spectral Minimal Partitions: the Case of the Sphere.- Weighted Sobolev Space Estimates for a Class of Singular Integral Operators.- On General Cwikel#x2013;Lieb#x2013;Rozenblum and Lieb#x2013;Thirring Inequalities.- Estimates for the Counting Function of the Laplace Operator on Domains with Rough Boundaries.- -Theory of the Poincar#x00E9; Problem.- Weighted Inequalities for Integral and Supremum Operators.- Finite Rank Toeplitz Operators in the Bergman Space.- Resolvent Estimates for Non-Selfadjoint Operators via Semigroups.
This volume reflects the variety of areas where Prof. Maz'ya's results are fundamental, influential and/or pioneering. New advantages in such areas are presented by world-renowned experts. All the results are new and have never before been published.