Analysis of singularities for partial differential equations / Shuxing Chen.

Format:

Book

Author/Creator:

Chen, Shuxing.

Series:

Series in applied and computational mathematics ; v. 1.

Series in applied and computational mathematics ; v. 1

Language:

English

Subjects (All):

Singularities (Mathematics).

Differential equations, Partial.

Physical Description:

1 online resource (300 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific, c2011.

Language Note:

English

Summary:

The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.

Contents:

Contents; Preface; 1. Introduction to problems on singularity analysis; 2. Singularity analysis for linear equations; 3. Singularity analysis for semilinear equations; 4. Propagation of singularities for fully nonlinear equations; 5. Propagation of strong singularities for nonlinear equations; 6. Formation of shocks for quasilinear hyperbolic equations; Appendix A Brief review on paradi erential operators; Bibliography

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 191-198).

ISBN:

9786613144515

9781283144513

1283144514

9789814304849

9814304840

OCLC:

740444834