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| SELF-SIMILAR SOLUTIONS OF A CLASS OF NONLINEAR PAPTIAL DIFFERENTIAL EQUATION | |
| 作者姓名： | 严国政 |
| 作者单位： | Young Scientist Laboratory of Math.Phys. Wuhan Inst.of Math.Sci.Academia Sinica，Wuhan 430071，China |
| 摘 要： | 1IntroductionInthispaper,westudythefollowingnonlinearpartialdeferentialequationwherea(20)andp(>1)areconstants.(z,Vu(t,x))isthescalarOfxandVu(f,x),i.e.nx=(xl,...tx.),y=(yi,',ye)then(x,y)=Zfiji.Withoutlossofgenerality,wetarei=1a=1.Thepurposeofthispaperistwo-fold.Firstweprovetheealltenceofglobalsolutions(Theorem2.1),thenweshowthatthereedestsapositivesolutionwithzeroinitialvalueinW','(Theorem1.1),thusthenon-uniquenessisestablishedwhentheinitialvalueiszeroinWI,a(R").Theorem1.1canberegardedas… |
SELF-SIMILAR SOLUTIONS OF A CLASS OF NONLINEAR PAPTIAL DIFFERENTIAL EQUATION |
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| Yan Guozheng.SELF-SIMILAR SOLUTIONS OF A CLASS OF NONLINEAR PAPTIAL DIFFERENTIAL EQUATION[J].Acta Mathematica Scientia,1997(2). | |
| Authors: | Yan Guozheng |
| Abstract: | |
| Keywords: | Existence and asymptotic behavior self-similar solution non-uniqueness |
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