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Author Chen, Shuxing.
Title Analysis of singularities for partial differential equations / Shuxing Chen.
Imprint New Jersey : World Scientific, [2011]

Author Chen, Shuxing.
Series Series in applied and computational mathematics ; v. 1
Series in applied and computational mathematics ; v. 1.
Subject Differential equations, Partial.
Singularities (Mathematics)
Description 1 online resource (viii, 198 pages) : illustrations.
polychrome rdacc
Bibliography Note Includes bibliographical references (pages 191-198).
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 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.
Note Print version record.
ISBN 9789814304849 (electronic bk.)
9814304840 (electronic bk.)
OCLC # 740444834
Additional Format Print version: Chen, Shuxing. Analysis of singularities for partial differential equations. Singapore ; Hackensack, NJ : World Scientific, ©2011 9789814304832 (DLC) 2010537504 (OCoLC)587124401

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