LEADER 02733nam 2200601 a 450 001 9910814792003321 005 20230725045608.0 010 $a1-283-14451-4 010 $a9786613144515 010 $a981-4304-84-0 035 $a(CKB)3360000000001377 035 $a(EBL)731243 035 $a(OCoLC)740444834 035 $a(SSID)ssj0000520878 035 $a(PQKBManifestationID)12231057 035 $a(PQKBTitleCode)TC0000520878 035 $a(PQKBWorkID)10517392 035 $a(PQKB)10609037 035 $a(MiAaPQ)EBC731243 035 $a(WSP)00001160 035 $a(Au-PeEL)EBL731243 035 $a(CaPaEBR)ebr10480211 035 $a(CaONFJC)MIL314451 035 $a(EXLCZ)993360000000001377 100 $a20110125d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalysis of singularities for partial differential equations$b[electronic resource] /$fShuxing Chen 210 $aSingapore ;$aHackensack, N.J. $cWorld Scientific$dc2011 215 $a1 online resource (300 p.) 225 1 $aSeries in applied and computational mathematics ;$vv. 1 300 $aDescription based upon print version of record. 311 $a981-4304-83-2 320 $aIncludes bibliographical references (p. 191-198). 327 $aContents; 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 330 $aThe book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks. 410 0$aSeries in applied and computational mathematics ;$vv. 1. 606 $aSingularities (Mathematics) 606 $aDifferential equations, Partial 615 0$aSingularities (Mathematics) 615 0$aDifferential equations, Partial. 676 $a515.353 700 $aChen$b Shuxing$0736943 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814792003321 996 $aAnalysis of singularities for partial differential equations$94115272 997 $aUNINA