International Mathematical Series

Around the Research of Vladimir Maz'ya III

Analysis and Applications

Editors: Laptev, Ari (Ed.)

  • Professor Maz'ya has received numerous awards for his outstanding contributions and several international conferences were organised for the occasion of his 60th birthday
  • This volume is totally different from all published books honoring Prof. Maz'ya
  • Focuses on the current state of research in analysis, PDEs and function theory, detailing recent advances
  • All the results are new and have never been published before
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eBook $149.00
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  • ISBN 978-1-4419-1345-6
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  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-1-4419-1344-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
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  • ISBN 978-1-4614-2551-9
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About this book

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

Table of contents (13 chapters)

  • Optimal Control of a Biharmonic Obstacle Problem

    Adams, David R. (et al.)

    Pages 1-24

  • Minimal Thinness and the Beurling Minimum Principle

    Aikawa, Hiroaki

    Pages 25-46

  • Progress in the Problem of the L p -Contractivity of Semigroups for Partial Differential Operators

    Cialdea, Alberto

    Pages 47-75

  • Uniqueness and Nonuniqueness in Inverse Hyperbolic Problems and the Black Hole Phenomenon

    Eskin, Gregory

    Pages 77-104

  • Global Green’s Function Estimates

    Frazier, Michael W. (et al.)

    Pages 105-152

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4419-1345-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-1-4419-1344-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-1-4614-2551-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Around the Research of Vladimir Maz'ya III
Book Subtitle
Analysis and Applications
Editors
  • Ari Laptev
Series Title
International Mathematical Series
Series Volume
13
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4419-1345-6
DOI
10.1007/978-1-4419-1345-6
Hardcover ISBN
978-1-4419-1344-9
Softcover ISBN
978-1-4614-2551-9
Series ISSN
1571-5485
Edition Number
1
Number of Pages
XXI, 386
Number of Illustrations and Tables
3 b/w illustrations
Additional Information
Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia
Topics