Around the Research of Vladimir Maz'ya III

Analysis and Applications

  • Ari Laptev

Part of the International Mathematical Series book series (IMAT, volume 13)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. David R. Adams, Volodymyr Hrynkiv, Suzanne Lenhart
    Pages 1-24
  3. Michael W. Frazier, Igor E. Verbitsky
    Pages 105-152
  4. Bernard Helffer, Thomas Hoffmann-Ostenhof, Susanna Terracini
    Pages 153-178
  5. Dorina Mitrea, Marius Mitrea, Sylvie Monniaux
    Pages 179-200
  6. Stanislav Molchanov, Boris Vainberg
    Pages 201-246
  7. Dian K. Palagachev
    Pages 259-278
  8. Grigori Rozenblum
    Pages 331-358
  9. Back Matter
    Pages 385-388

About this book

Introduction

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).

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.

Cover image: Vladimir Maz'ya

Keywords

Asymptotics Derivative Differential operator Green's function Perturbed domain Sobolev space calculus linear optimization minimum orthogonal polynomials

Editors and affiliations

  • Ari Laptev
    • 1
  1. 1.Department of MathematicsImperial CollegeLondonUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-1345-6
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-1344-9
  • Online ISBN 978-1-4419-1345-6
  • Series Print ISSN 1571-5485
  • Series Online ISSN 1574-8944
  • About this book