Operator Theory: Advances and Applications

The Maz’ya Anniversary Collection

Volume 1: On Maz’ya’s work in functional analysis, partial differential equations and applications

Editors: Rossmann, Jürgen, Takac, Peter, Wildenhain, Günther (Eds.)

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About this book

The contributions in this volume are dedicated to Vladimir G. Maz'ya and are par­ tially based on talks given at the conference "Functional Analysis, Partial Differ­ ential Equations, and Applications", which took place at the University of Rostock from August 31 to September 4, 1998, to honour Prof. Maz'ya. This conference (a satellite meeting of the ICM) gave an opportunity to many friends and colleagues from all over the world to honour him. This academic community is very large. The scientific field of Prof. Maz'ya is impressively broad, which is reflected in the variety of contributions included in the volumes. Vladimir Maz'ya is the author and co-author of many publications (see the list of publications at the end of this volume), the topics of which extend from functional analysis, function theory and numerical analysis to partial differential equations and their broad applications. Vladimir G. Maz'ya provided significant contributions, among others to the the­ ory of Sobolev spaces, the capacity theory, boundary integral methods, qualitative and asymptotic methods of analysis of linear and nonlinear elliptic differential equations, the Cauchy problem for elliptic and hyperbolic equations, the theory of multipliers in spaces of differentiable functions, maximum principles for elliptic and parabolic systems, and boundary value problems in domains with piecewise smooth boundaries. Surveys on Maz'ya's work in different fields of mathematics and areas, where he made essential contributions, form a major part of the present first volume of The Maz'ya Anniversary Collection.

Table of contents (20 chapters)

Table of contents (20 chapters)
  • Vladimir Maz’ya: Friend and mathematician. Recollections

    Gohberg, Israel

    Pages 1-5

  • On Maz’ya’s work in potential theory and the theory of function spaces

    Hedberg, Lars Inge

    Pages 7-16

  • Maz’ya’s works in the linear theory of water waves

    Kuznetsov, N. G. (et al.)

    Pages 17-34

  • The work of Vladimir Maz’ya on integral and pseudodifferential operators

    Elschner, Johannes

    Pages 35-52

  • Contributions of V. Maz’ya to the theory of boundary value problems in nonsmooth domains

    Rossmann, Jürgen

    Pages 53-98

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-0348-8675-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
  • ISBN 978-3-0348-9726-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Maz’ya Anniversary Collection
Book Subtitle
Volume 1: On Maz’ya’s work in functional analysis, partial differential equations and applications
Editors
  • Jürgen Rossmann
  • Peter Takac
  • Günther Wildenhain
Series Title
Operator Theory: Advances and Applications
Series Volume
109
Copyright
1999
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8675-8
DOI
10.1007/978-3-0348-8675-8
Softcover ISBN
978-3-0348-9726-6
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XII, 364
Topics