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|a Chen, Shuxing.
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|a Analysis of singularities for partial differential equations /
|c Shuxing Chen.
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|a New Jersey :
|b World Scientific,
|c ©2011.
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|a 1 online resource (viii, 198 pages) :
|b illustrations
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|a Series in applied and computational mathematics ;
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|a Includes bibliographical references (pages 191-198).
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|a Print version record.
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|a 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.
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|a 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.
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|a Differential equations, Partial.
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|a Singularities (Mathematics)
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|a Équations aux dérivées partielles.
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|a Singularités (Mathématiques)
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|a MATHEMATICS
|x Differential Equations
|x Partial.
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|a Differential equations, Partial.
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|i Print version:
|a Chen, Shuxing.
|t Analysis of singularities for partial differential equations.
|d Singapore ; Hackensack, NJ : World Scientific, ©2011
|z 9789814304832
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|w (OCoLC)587124401
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|a Series in applied and computational mathematics ;
|v v. 1.
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