Details

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.

<P>International Mathematical Series Volume 13<BR>Around the Research of Vladimir Ma'z'ya III<BR>Analysis and Applications<BR>Edited by Ari Laptev</P>
<P>More than 450 research articles and 20 books by Prof. Maz'ya contain numerous fundamental results and fruitful techniques which have strongly influenced the development of many branches in Analysis and, in particular, the topics discussed in this volume: problems with biharmonic differential operators, the minimal thinness of nontangentially accessible domains, the Lp-dissipativity of partial differential operators and the Lp-contractivity of the generated semigroups, uniqueness and nonuniqueness in inverse hyperbolic problems and the existence of black (white) holes, global exponential bounds for Green's functions for differential and integral equations with possibly singular coefficients, data, and boundaries of the domains, properties of spectral minimal partitions, the boundedness of integral operators from Besov spaces on the boundary of a Lipschitz domain into weighted Sobolev spaces of functions in the domain, the Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities for operators on functions in metric spaces, spectral problems with the Schrodinger operator, the Weyl formula for the Laplace operator on a domain under minimal assumptions on the boundary, a degenerate oblique derivative problem for second order uniformly elliptic operators, weighted inequalities with the Hardy operator in the integral and supremum form, finite rank Toeplitz operators and applications, the resolvent of a non-selfadjoint pseudodifferential operator.</P>
<P>Contributors include: David R. Adams (USA), Volodymyr Hrynkiv (USA), and Suzanne Lenhart (USA); Hiroaki Aikawa (Japan); Alberto Cialdea (Italy); Gregory Eskin (USA); Michael W. Frazier (USa) and Igor E. Verbitsky (USA); Bernard Helffer (France), Thomas Hoffmann-Ostenhof (Austria), and Susanna Terracini (italy); Dorina Mitrea (USA), Marius Mitrea (USA), and Sylvie Monniaux (France); Stanislav Molchanov (USA) and Boris Vainberg (USA); Yuri Netrusov (UK) and Yuri Safarov (UK); Dian K. Palagachev (Italy); Lubos Pick (Czech Republic); Grigori Rozenblum (Sweden); Johannes Sjostrand (France).</P>
<P>Ari Laptev<BR>Imperial College London (UK) and<BR>Royal Institute of Technology (Sweden)<BR>Ari Laptev is a world-recognized specialist in Spectral Theory of <BR>Differential Operators. He is the President of the European Mathematical<BR>Society for the period 2007- 2010.</P>
<P>Tamara Rozhkovskaya<BR>Sobolev Institute of Mathematics SB RAS (Russia) <BR>and an independent publisher<BR>Editors and Authors are exclusively invited to contribute to volumes highlighting<BR>recent advances in various fields of mathematics by the Series Editor and a founder <BR>of the IMS Tamara Rozhkovskaya.</P>
<P>Cover image: Vladimir Maz'ya </P>

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 role in 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 these conferences. In this volume contributors and contributions were selected in accordance with the main idea of the volume Includes supplementary material: sn.pub/extras