Around the Research of Vladimir Maz'ya 3 : Analysis and Applications (International Mathematical Series)

Laptev, Ari (EDT)

Springer Verlag（2009/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 388 p.
• 言語 ENG
• 商品コード 9781441913449
• DDC分類 515

Full Description

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.

Contents

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.