COMPLEX ANALYTIC METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS: AN INTRODUCTORY TEXT

by Heinrich G W Begehr

• ISBN13: 9789810215507
• ISBN10: 9810215509
• Format: Nonspecific Binding
• Copyright: 1994-11-15
• Publisher: World Scientific Publishing

Table of Contents

Preface
Function theoretical tools	p. 1
Cauchy integral	p. 1
Green functions and Schwarz operators	p. 18
Riemann boundary value problem	p. 38
Riemann-Hilbert boundary value problem	p. 45
Inhomogeneous Cauchy-Riemann systems	p. 69
Integral representations	p. 69
Properties of integral operators	p. 74
Boundary value problems for generalized Beltrami equations	p. 99
Generalized Beltrami equation	p. 99
Riemann boundary value problem	p. 114
Riemann-Hilbert boundary value problem	p. 118
Poincare boundary value problem	p. 144
Discontinuous boundary value problems	p. 149
Other equations and systems related to the Beltrami equation	p. 175
Initial boundary value problem for pseudoparabolic equations	p. 175
Initial boundary value problem for a composite type system	p. 184
Entire solution to nonlinear generalized Beltrami equations	p. 194
Higher order complex differential equations and equations in several complex variables	p. 203
Elliptic second order equations	p. 203
Higher order equations	p. 233
First order systems in two complex variables with analytic coefficients	p. 239
The Schwarz-Poisson formula for polydiscs	p. 252
References	p. 257
Index of Names	p. 267
Index of Subjects	p. 269
Index of Corollaries, Definitions, Lemmas, Theorems	p. 273
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