Elliptic, hyperbolic and mixed complex equations with parabolic degeneracy : including Tricomi-Bers and Tricomi-Frankl-Rassias problems / Guo Chun Wen.

Format:

Book

Author/Creator:

Wen, Guo Chun.

Series:

Peking University series in mathematics ; v. 4.

Peking University series in mathematics ; v. 4

Language:

English

Subjects (All):

Differential equations, Elliptic.

Differential equations, Hyperbolic.

Differential equations, Partial.

Boundary value problems.

Physical Description:

1 online resource (456 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2008.

Language Note:

English

Summary:

In the recent half-century, many mathematicians have investigated various problems on several equations of mixed type and obtained interesting results, with important applications to gas dynamics. However, the Tricomi problem of general mixed type equations of second order with parabolic degeneracy has not been completely solved, particularly the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains posed by L Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate curve in several domains posed b

Contents:

Contents; Preface; Chapter I Elliptic Complex Equations of First Order; 1. The Discontinuous Riemann-Hilbert Problem for Nonlinear Uniformly Elliptic Complex Equations of First Order; 1.1 Reduction of general uniformly elliptic systems of rst order equations to standard complex form; 1.2 Representation of solutions of discontinuous Riemann-Hilbert problem for elliptic complex equations; 1.3 Existence of solutions of discontinuous Riemann-Hilbert problem for nonlinear complex equations in upper half-unit disk

1.4 The discontinuous Riemann-Hilbert problem for nonlinear complex equations in general domains 2. The Riemann-Hilbert Problem for Linear Degenerate Elliptic Complex Equations of First Order; 2.1 Formulation of the Riemann-Hilbert problem for degenerate elliptic complex equations; 2.2 Representations and estimates of solutions of Riemann-Hilbert problem for elliptic complex equations; 2.3 Solvability of Riemann-Hilbert problem for degenerate elliptic complex equations; 3. The Discontinuous Riemann-Hilbert Problem for Quasilinear Degenerate Elliptic Complex Equations of First Order

3.1 Formulation of discontinuous Riemann- Hilbert problem for degenerate elliptic complex equations 3.2 Representation and uniqueness of solutions of discontinuous Riemann-Hilbert problem for elliptic complex equations; 3.3 Estimates and existence of solutions of Riemann-Hilbert problem for degenerate elliptic complex equations; 4. The Riemann-Hilbert Problem for Degenerate Elliptic Complex Equations of First Order in Multiply Connected Domains; 4.1 Formulation of Riemann-Hilbert problem for degenerate elliptic complex equations in multiply connected domains

4.2 Representation and uniqueness of solutions of Riemann-Hilbert problem for degenerate elliptic complex equations 4.3 Estimates of solutions of Riemann-Hilbert problem for degenerate elliptic equations; 4.4 Existence of solutions of Riemann-Hilbert problem for degenerate elliptic equations; Chapter II Elliptic Complex Equations of Second Order; 1. The Discontinuous Oblique Derivative Problem for Uniformly Elliptic Complex Equations; 1.1 Formulation of discontinuous oblique derivative problem for elliptic equations

1.2 The representation theorem of discontinuous oblique derivative problem for elliptic equations 1.3 Existence of solutions of discontinuous oblique derivative problem for elliptic equations in upper half-unit disk; 1.4 The discontinuous oblique derivative problem for elliptic equations in general domains; 2. The Mixed Boundary Value Problem for Degenerate Elliptic Equations of Second Order; 2.1 Formulation of mixed boundary value problem for degenerate elliptic equations of second order; 2.2 Representation of solutions of mixed boundary value problem for degenerate elliptic equations

2.3 Estimates and existence of solutions of mixed problem for degenerate elliptic equations

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 415-427) and index.

ISBN:

9786611938048

9781281938046

1281938041

9789812779434

9812779434

OCLC:

879023567