Skip to main content
  • Book
  • © 2010

Around the Research of Vladimir Maz'ya II

Partial Differential Equations

Editors:

  • 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

Part of the book series: International Mathematical Series (IMAT, volume 12)

Buy it now

Buying options

Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xxii
  2. Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains

    • Gerassimos Barbatis, Victor I. Burenkov, Pier Domenico Lamberti
    Pages 23-60
  3. On the Regularity of Nonlinear Subelliptic Equations

    • András Domokos, Juan J. Manfredi
    Pages 145-157
  4. Rigorous and Heuristic Treatment of Sensitive Singular Perturbations Arising in Elliptic Shells

    • Yuri V. Egorov, Nicolas Meunier, Evariste Sanchez-Palencia
    Pages 159-202
  5. On First Neumann Eigenvalue Bounds for Conformal Metrics

    • Gerasim Kokarev, Nikolai Nadirashvili
    Pages 229-238
  6. The Problem of Steady Flow over a Two-Dimensional Bottom Obstacle

    • Oleg Motygin, Nikolay Kuznetsov
    Pages 253-274
  7. Back Matter

    Pages 379-385

About this book

Topics of this volume are close to scientific interests of Professor Maz'ya and use, directly or indirectly, the fundamental influential Maz'ya's works penetrating, in a sense, the theory of PDEs.

In particular, recent advantages in the study of semilinear elliptic equations, stationary Navier-Stokes equations, the Stokes system in convex polyhedra, periodic scattering problems, problems with perturbed boundary at a conic point, singular perturbations arising in elliptic shells and other important problems in mathematical physics are presented.

Editors and Affiliations

  • Department of Mathematics, Imperial College, London, United Kingdom

    Ari Laptev

Bibliographic Information

  • Book Title: Around the Research of Vladimir Maz'ya II

  • Book Subtitle: Partial Differential Equations

  • Editors: Ari Laptev

  • Series Title: International Mathematical Series

  • DOI: https://doi.org/10.1007/978-1-4419-1343-2

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag New York 2010

  • Hardcover ISBN: 978-1-4419-1342-5Published: 04 January 2010

  • Softcover ISBN: 978-1-4614-2548-9Published: 25 February 2012

  • eBook ISBN: 978-1-4419-1343-2Published: 05 December 2009

  • Series ISSN: 1571-5485

  • Series E-ISSN: 1574-8944

  • Edition Number: 1

  • Number of Pages: XXII, 386

  • Additional Information: Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia

  • Topics: Analysis, Partial Differential Equations, Functional Analysis

Buy it now

Buying options

Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access