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International Society for Analysis, Applications and Computation

Partial Differential and Integral Equations

Editors: Begehr, Heinrich, Gilbert, R.P., Guo, Wen-Chung (Eds.)

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About this book

This volume of the Proceedings of the congress ISAAC '97 collects the con­ tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal­ ysis are studied which are applied to the time-harmonic Maxwell equations.

Table of contents (27 chapters)

Table of contents (27 chapters)
  • Gauss-Manin Connexion of Curve Singularities

    Pages 1-22

    Aleksandrov, A. G.

  • Group Convolution Operators on Step of Two Nilpotent Lie Groups

    Pages 23-35

    Vasilevski, N. L.

  • Some Boundary Value Problems for Second Order Overdetermined Elliptic Systems in the Unit Ball Of ℂ N

    Pages 37-57

    Dzhuraev, Abduhamid

  • Riemann-Hilbert Boundary Value Problems in ℂ N

    Pages 59-84

    Begehr, Heinrich

  • The Riemann-Hilbert Problem for Nonlinear Elliptic Complex Equations of First Order in Multiply Connected Infinite Domains

    Pages 85-95

    Wen, Guo-Chun

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-1-4613-3276-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Partial Differential and Integral Equations
Editors
  • Heinrich Begehr
  • R.P. Gilbert
  • Wen-Chung Guo
Series Title
International Society for Analysis, Applications and Computation
Series Volume
2
Copyright
1999
Publisher
Springer US
Copyright Holder
Kluwer Academic Publishers
eBook ISBN
978-1-4613-3276-3
DOI
10.1007/978-1-4613-3276-3
Hardcover ISBN
978-0-7923-5482-6
Softcover ISBN
978-1-4613-3278-7
Series ISSN
1388-4271
Edition Number
1
Number of Pages
384
Topics

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