Singular Partial Differential Equations
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Singular Partial Differential Equations

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Description

Singular Partial Differential Equations provides an analytical, constructive, and elementary approach to non-elementary problems. In the first monograph to consider such equations, the author investigates the solvability of partial differential equations and systems in a class of bounded functions with complex coefficients having singularities at the inner points or boundary of the domain. Using complex variable techniques, the author considers a variety of problems, including the Dirichlet, Neumann, and other problems for first order systems. He also explores applications to singular equations, degenerate, high-dimensional Beltrami systems in Cn,, and others. Singular Partial Differential Equations fills a gap in the literature on degenerate and singular partial differential equations and significantly contributes to the theory of boundary value problems for these equations and systems. It will undoubtedly stimulate further research in the field. Practical applications in analysis and physics make this important reading for researchers and students in physics and engineering, along with mathematicians.show more

Product details

  • Hardback | 216 pages
  • 154.9 x 246.4 x 17.3mm | 480.82g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 1584881445
  • 9781584881445

Table of contents

INTRODUCTION FIRST ORDER ELLIPTIC SYSTEMS General First Order Elliptic Systems in the Plane First Order Elliptic Systems for a Single Function in the Complex Space First Order Elliptic Systems for several functions in the Complex Space The Riemann-Hilbert Problem for First Order Elliptic Systems in the Plane The Riemann-Hilbert Problem for Systems in the Unit Ball of Cn SECOND ORDER OF ELLIPTIC SYSTEMS Second Order Elliptic Systems in the Plane Second Order Elliptic Systems in Cn Boundary Value Problems for Overdetermined Systems in the Unit Ball of Cn. Some Second Order Elliptic Systems with Two Unknown Functions in C2 DEGENERATE AND SINGULAR ELLIPTIC SYSTEMS Solvability of First Order Systems in the Plane Solvability of First Order Overdetermined Systems in C2 SECOND ORDER ELLIPTIC SYSTEMS Solvability of the Second Order Singular Elliptic Equations in the Unit Disc Solvability of the Second Order Overdetermined Elliptic Systems of in the Unit Ball of Cn Solvability of Elliptic Systems having Singularity at Infinity Solvability of some Non-Elliptic Systems BOUNDARY VALUE PROBLEMS FOR SINGULAR ELLIPTIC SYSTEMS Boundary Value Problems for Singular Elliptic Systems in the Plane Domains Boundary Value Problems for Singular Elliptic Systems in the Unit Ball of Cn Boundary Value Problems for Equations having Pointwise Singularity Some Nonlinear Problems BIBLIOGRAPHY INDEXshow more