International Mathematical Series

Around the Research of Vladimir Maz'ya II

Partial Differential Equations

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 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
see more benefits

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-1-4419-1343-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-1-4419-1342-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-1-4614-2548-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

International Mathematical Series Volume 12
Around the Research of Vladimir Maz'ya II
Partial Differential Equations
Edited by Ari Laptev

Numerous influential contributions of Vladimir Maz'ya to PDEs are related to diverse areas. In particular, the following topics, close to the scientific interests of V. Maz'ya are discussed: semilinear elliptic equation with an exponential nonlinearity resolvents, eigenvalues, and eigenfunctions of elliptic operators in perturbed domains, homogenization, asymptotics for the Laplace-Dirichlet equation in a perturbed polygonal domain, the Navier-Stokes equation on Lipschitz domains in Riemannian manifolds, nondegenerate quasilinear subelliptic equations of p-Laplacian type, singular perturbations of elliptic systems, elliptic inequalities on Riemannian manifolds, polynomial solutions to the Dirichlet problem, the first Neumann eigenvalues for a conformal class of Riemannian metrics, the boundary regularity for quasilinear equations, the problem on a steady flow over a two-dimensional obstacle, the well posedness and asymptotics for the Stokes equation, integral equations for harmonic single layer potential in domains with cusps, the Stokes equations in a convex polyhedron, periodic scattering problems, the Neumann problem for 4th order differential operators.

Contributors include: Catherine Bandle (Switzerland), Vitaly Moroz (UK), and Wolfgang Reichel (Germany); Gerassimos Barbatis (Greece), Victor I. Burenkov (Italy), and Pier Domenico Lamberti (Italy); Grigori Chechkin (Russia); Monique Dauge (France), Sebastien Tordeux (France), and Gregory Vial (France); Martin Dindos (UK); Andras Domokos (USA) and Juan J. Manfredi (USA); Yuri V. Egorov (France), Nicolas Meunier (France), and Evariste Sanchez-Palencia (France); Alexander Grigor'yan (Germany) and Vladimir A. Kondratiev (Russia); Dmitry Khavinson (USA) and Nikos Stylianopoulos (Cyprus); Gerasim Kokarev (UK) and Nikolai Nadirashvili (France); Vitali Liskevich (UK) and Igor I. Skrypnik (Ukraine); Oleg Motygin (Russia) and Nikolay Kuznetsov (Russia); Grigory P. Panasenko (France) and Ruxandra Stavre (Romania); Sergei V. Poborchi (Russia); Jurgen Rossmann (Germany); Gunther Schmidt (Germany); Gregory C. Verchota (USA).

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 (17 chapters)

  • Large Solutions to Semilinear Elliptic Equations with Hardy Potential and Exponential Nonlinearity

    Bandle, Catherine (et al.)

    Pages 1-22

  • Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains

    Barbatis, Gerassimos (et al.)

    Pages 23-60

  • Operator Pencil in a Domain with Concentrated Masses. A Scalar Analog of Linear Hydrodynamics

    Chechkin, Gregory

    Pages 61-94

  • Selfsimilar Perturbation near a Corner: Matching Versus Multiscale Expansions for a Model Problem

    Dauge, Monique (et al.)

    Pages 95-134

  • Stationary Navier–Stokes Equation on Lipschitz Domains in Riemannian Manifolds with Nonvanishing Boundary Conditions

    Dindoš, Martin

    Pages 135-144

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-1-4419-1343-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-1-4419-1342-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-1-4614-2548-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

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
Series Volume
12
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4419-1343-2
DOI
10.1007/978-1-4419-1343-2
Hardcover ISBN
978-1-4419-1342-5
Softcover ISBN
978-1-4614-2548-9
Series ISSN
1571-5485
Edition Number
1
Number of Pages
XXII, 386
Additional Information
Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia
Topics