| GLOBAL CLASSICAL SOLUTIONS AND EXPLICITEXACT SOLUTIONS TO A KIND OF QUASILINEARPARTIAL DIFFERENTIAL EQUATIONS |
| |
| 作者姓名： | ZHANG Weiguo |
| |
| 作者单位： | ZHANG Weiguo(Department of Mathematics，Changsha Railway College，Changsha 410075，China)KONG Dexing(Institute of Mathetnatics，Fudan University，Shanghai 2O0433，China) |
| |
| 摘 要： | 1.IntroductionandMainResultTherearemanyexamplesconcerningtheformationofsingularitiesinthesoluti0nsofnon-linearpartialdifferefitialequations.Thus,althoughasolutionmaybesmoothinitially,itmaybecomesingularatsomelatertime(see1-6]).However,T.Nishidahaspr0vedthatiftheCln0rmoftheinitialdataissufficientlysmall,thentheCauchyproblemadmitsauniqueglobalsmooths0lutionont2Otoareduciblequasilinearhyperbolicsystemwithfirst(lower)orderdissipativeterm(see7]).Thereafter,manyauthorshavegeneralizedNishida'sr…
|
GLOBAL CLASSICAL SOLUTIONS AND EXPLICITEXACT SOLUTIONS TO A KIND OF QUASILINEARPARTIAL DIFFERENTIAL EQUATIONS |
| |
| ZHANG Weiguo.GLOBAL CLASSICAL SOLUTIONS AND EXPLICITEXACT SOLUTIONS TO A KIND OF QUASILINEARPARTIAL DIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Complexity,1998(1). |
| |
| Authors: | ZHANG Weiguo |
| |
| Abstract: | In this paper the authors give a complete result on the global existence andthe lifesspan of classical solutions to the Cauchy problem for a kind 0f quasilillear partialdifferelitial equations of physical interest. The equation concerned is a quasiIinear hyper-bolic equation with higher order dissipative term. The meth0d presented here offers an approach which can be used to look for some explicit exact solutions of physical interest. |
| |
| Keywords: | Quasilinear equation the Cauchy problem the Iife-span the global existence |
| 本文献已被 CNKI 等数据库收录！ |
