Around the research of Vladimir Maz'ya v. III Analysis and applications

This volume reflects the variety of areas where Maz'ya's results are fundamental, influential and/or pioneering. New advantages in such areas are presentedby 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) He was elected to the Royal Society of Edinburgh (2001) and the Royal Swedish Academy of Sciences (2002) Several international conferences were organised for the occasion of his 60th birthday There are several collections of papers honored Prof. Maz'ya. Prof. Maz'ya published more than 20 monographs and more than 450 articles. The range of his interests is very wide and many of his results play a key rolein many areas of analysis and PDEs. Nevertheless, the presented volume is absolutely different from all published books honored V. Maz'ya: It focuses on the current state of research in analysis, PDEs and function theory, detailing recent advances, selected in relation to Mazy’as results. All the results are new and never published earlier The mentioned collections present proceedings of conferences in honor of V. Maz'ya and contributors are participants of theseconferences. In this volume contributors and contributions were selected in accordance with the main idea of the volume INDICE: Optimal Control of a Biharmonic Obstacle Problem.- Minimal Thinness and Beurling's Minimum Principle.- Progress in the Problem of Lp-Contractivity of Semigroups for Partial Differential Operators.- Uniqueness and Nonuniqueness in Inverse Hyperbolic Problems and the Black Hole Phenomenon.- Global Green's Function Estimates.- On Spectral Minimal Partitions: the Case of the Sphere.- Recurrence Relations for Orthogonal Polynomials and Algebraicity of Solutions of the Dirichlet Problem.- Weighted Sobolev Space Estimates for a Class of Singular Integral Operators.- On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities.- Estimates for the Counting Function of the Laplace Operator on Domains with Rough Boundaries.- W2,p-Theory of the Poincaré Problem.- Weighted Inequalities for Integral and Supremum Operators.- Finite Rank Toeplitz Operators in the Bergman Space.- Resolvent Estimates for Non-Selfadjoint Operators via Semigroups.- The p-Faber-Krahn Inequality Noted.

• ISBN: 978-1-4419-1344-9
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 400
• Fecha Publicación: 01/11/2009
• Nº Volúmenes: 1
• Idioma: Inglés