Book Details :
Title : Around the Research of Vladimir Maz'ya III: Analysis and Applications (International Mathematical Series)
Author : Ari Laptev
Hardcover : 407 pages
Publisher : Springer; 1st Edition. edition (February 12, 2010)
Language : English
ISBN-10 : 1441913440
ISBN-13 : 978-1441913449
Size : 3.41 MB.
Type : Pdf.
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Book Description :

International Mathematical Series Volume 13 Around the Research of Vladimir Ma'z'ya III Analysis and Applications Edited by Ari Laptev 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.

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).

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.

About author :

Ari Laptev Imperial College London (UK) and Royal Institute of Technology (Sweden) Ari Laptev is a world-recognized specialist in Spectral Theory of Differential Operators. He is the President of the European Mathematical Society for the period 2007- 2010. Tamara Rozhkovskaya Sobolev Institute of Mathematics SB RAS (Russia) and an independent publisher Editors and Authors are exclusively invited to contribute to volumes highlighting recent advances in various fields of mathematics by the Series Editor and a founder of the IMS Tamara Rozhkovskaya.