02733nam 2200601 a 450 991078855600332120230725045608.01-283-14451-49786613144515981-4304-84-0(CKB)3360000000001377(EBL)731243(OCoLC)740444834(SSID)ssj0000520878(PQKBManifestationID)12231057(PQKBTitleCode)TC0000520878(PQKBWorkID)10517392(PQKB)10609037(MiAaPQ)EBC731243(WSP)00001160 (Au-PeEL)EBL731243(CaPaEBR)ebr10480211(CaONFJC)MIL314451(EXLCZ)99336000000000137720110125d2011 uy 0engur|n|---|||||txtccrAnalysis of singularities for partial differential equations[electronic resource] /Shuxing ChenSingapore ;Hackensack, N.J. World Scientificc20111 online resource (300 p.)Series in applied and computational mathematics ;v. 1Description based upon print version of record.981-4304-83-2 Includes bibliographical references (p. 191-198).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; BibliographyThe 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.Series in applied and computational mathematics ;v. 1.Singularities (Mathematics)Differential equations, PartialSingularities (Mathematics)Differential equations, Partial.515.353Chen Shuxing736943MiAaPQMiAaPQMiAaPQBOOK9910788556003321Analysis of singularities for partial differential equations3676440UNINA