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Complex Methods for Partial Differential Equations

  • Book
  • © 1999

Overview

Editors:
  1. Heinrich G. W. Begehr

    1. I. Mathematisches Institut, Freie Universität Berlin, Berlin, Germany

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  2. A. Okay Celebi

    1. Department of Mathematics, Faculty of Sciences, Middle East Technical University, Ankara, Turkey

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    You can also search for this editor in PubMed   Google Scholar

  3. Wolfgang Tutschke

    1. Institut für Mathematik, Technische Universität Graz, Graz, Austria

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Part of the book series: International Society for Analysis, Applications and Computation (ISAA, volume 6)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. A Reflection Principle and its Applications

    • Jörg Witte
    Pages 1-19

  3. On some Problems for First Order Elliptic Systems in the Plane

    • D. Q. Dai
    Pages 21-27

  4. Differential — Operator Solutions for Complex Partial Differential Equations

    • O. Celebi, Sare Sengül
    Pages 29-40

  5. On a Generalized Riemann-Hilbert Boundary Value Problem for Second Order Elliptic Systems in the Plane

    • M. Akal
    Pages 41-55

  6. Boundary Value Problems of the Theory of Generalized Analytic Vectors

    • G. Manjavidze, G. Akhalaia
    Pages 57-95

  7. On Well-Posedness of Problems for Nonclassical Systems of Equations

    • D. Kh. Safarov
    Pages 97-102

  8. An Application of the Periodic Riemann Boundary Value Problem to a Periodic Crack Problem

    • X. Li
    Pages 103-112

  9. Initial and Boundary Value Problems for Singular Differential Equations and Applications to the Theory of Cusped Bars and Plates

    • G. Jaiani
    Pages 113-149

  10. Multidimensional Logarithmic Residues and their Applications

    • L. A. Aizenberg
    Pages 151-153

  11. The Neumann Problem for the Inhomogeneous Pluriharmonic System in Polydiscs

    • A. Mohammed
    Pages 155-164

  12. Second Order Cauchy-Pompeiu Representations

    • H. Begehr
    Pages 165-188

  13. On a class of Second Order Elliptic Overdetermined Systems

    • A. Dzhuraev
    Pages 189-204

  14. Boundary Spinors and Boundary Values of Holomorphic Functions

    • J. Cnops
    Pages 205-213

  15. Two Approaches to Non-Commutative Geometry

    • V. V. Kisil
    Pages 215-244

  16. Some Partial Differential Equations in Clifford Analysis

    • E. Obolashvili
    Pages 245-261

  17. Generalized Monogenic Functions Satisfying Differential Equations with Anti-Monogenic Right-Hand Sides

    • W. Tutschke, U. Yüksel
    Pages 263-270

  18. Complex Analytic Method for Hyperbolic Equations of Second Order

    • G.-C. Wen
    Pages 271-288

  19. Remarks on the Solvability of Dirichlet Problems in Different Function Spaces

    • Falak Rihawi
    Pages 289-293

  20. Complex Methods in the Theory of Initial Value Problems

    • W. Tutschke
    Pages 295-311
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About this book

This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par­ tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech­ nical Research Council of Turkey and the Middle East Technical University. This workshop is a continuation oftwo workshops from 1988 and 1993 at the In­ ternational Centre for Theoretical Physics in Trieste, Italy entitled Functional analytic Methods in Complex Analysis and Applications to Partial Differential Equations. Since classical complex analysis of one and several variables has a long tra­ dition it is of high level. But most of its basic problems are solved nowadays so that within the last few decades it has lost more and more attention. The area of complex and functional analytic methods in partial differential equations, however, is still a growing and flourishing field, in particular as these methods are not only applied. Whithin the framework of holomorphic functions but are also combined with properties of generalized analytic functions. This can be seen by the many books which recently were published in this field and also by the proceedings in this ISAAC series and the ISAAC congresses and workshops.

Editors and Affiliations

  • I. Mathematisches Institut, Freie Universität Berlin, Berlin, Germany

    Heinrich G. W. Begehr

  • Department of Mathematics, Faculty of Sciences, Middle East Technical University, Ankara, Turkey

    A. Okay Celebi

  • Institut für Mathematik, Technische Universität Graz, Graz, Austria

    Wolfgang Tutschke

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