Linear and quasilinear complex equations of hyperbolic and mixed type / Guo Chun Wen.

Format:

Book

Author/Creator:

Wen, Guo Chun.

Contributor:

Alumni and Friends Memorial Book Fund.

Series:

Asian mathematics series ; v. 6.

Asian mathematics series ; v. 6

Language:

English

Subjects (All):

Differential equations, Hyperbolic.

Differential equations, Linear.

Physical Description:

x, 256 pages : illustrations ; 25 cm.

Place of Publication:

London ; New York : Taylor & Francis, 2002.

Contents:

Chapter I Hyperbolic complex equations of first order 1

1 Hyperbolic complex functions and hyperbolic pseudoregular functions 1

2 Complex forms of linear and nonlinear hyperbolic systems of first order equations 10

3 Boundary value problems of linear hyperbolic complex equations of first order 18

4 Boundary value problems of quasilinear hyperbolic complex equations of first order 25

5 Hyperbolic mappings and quasi-hyperbolic mappings 35

Chapter II Hyperbolic complex equations of second order 39

1 Complex form of hyperbolic equations of second order 39

2 Oblique derivative problems for quasilinear hyperbolic equations of second order 43

3 Oblique derivative problems for general quasilinear hyperbolic equations of second order 50

4 Other oblique derivative problems for quasilinear hyperbolic equations of second order 59

5 Oblique derivative problems for degenerate hyperbolic equations of second order 66

Chapter III Nonlinear elliptic complex equations of first and second order 79

1 Generalizations of Keldych

Sedov formula for analytic functions 79

2 Representation and existence of solutions for elliptic complex equations of first order 90

3 Discontinuous oblique derivative problems for quasilinear elliptic equations of second order 95

4 Boundary value problems for degenerate elliptic equations of second order in a simply connected domain 108

Chapter IV First order complex equations of mixed type 119

1 The Riemann

Hilbert problem for simplest first order complex equation of mixed type 119

2 The Riemann

Hilbert problem for first order linear complex equations of mixed type 126

3 The Riemann

Hilbert problem for first order quasilinear complex equations of mixed type 134

4 The Riemann

Hilbert problem for first order quasilinear quations of mixed type in general domains 138

5 The discontinuous Riemann

Hilbert problem for quasilinear mixed equations of first order 143

Chapter V Second order linear equations of mixed type 157

1 Oblique derivative problems for simplest second order equation of mixed type 157

2 Oblique derivative problems for second order linear equations of mixed type 162

3 Discontinuous oblique derivative problems for second order linear equations of mixed type 171

4 The Frankl boundary value problem for second order linear equations of mixed type 177

5 Oblique derivative problems for second order degenerate equations of mixed type 194

Chapter VI Second order quasilinear equations of mixed type 200

1 Oblique derivative problems for second order quasilinear equations of mixed type 200

2 Oblique derivative problems for second order equations of mixed type in general domains 209

3 Discontinuous oblique derivative problems for second order quasilinear equations of mixed type 218

4 Oblique derivative problems for quasilinear equations of mixed type in multiply connected domains 227.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Alumni and Friends Memorial Book Fund.

ISBN:

0415269717

OCLC:

50940398