ON THE EXISTENCE OF SOLUTIONS TO THE EQUATION UTT = UXXT + SIGMA-(UX)X

被引:148
作者
ANDREWS, G [1 ]
机构
[1] HERIOT WATT UNIV,DEPT MATH,EDINBURGH EH14 4AS,MIDLOTHIAN,SCOTLAND
关键词
D O I
10.1016/0022-0396(80)90040-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
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页码:200 / 231
页数:32
相关论文
共 15 条
[1]  
Adams R. A., 2003, PURE APPL MATH SOB O, V2nd
[2]  
ANTMAN SS, 1976, ARCH RATION MECH AN, V61, P307
[3]  
CHU SC, 1967, DIFFERENTIAL EQUATIO
[4]   POSITIVELY INVARIANT REGIONS FOR SYSTEMS OF NONLINEAR DIFFUSION EQUATIONS [J].
CHUEH, KN ;
CONLEY, CC ;
SMOLLER, JA .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1977, 26 (02) :373-392
[5]   EXISTENCE THEOREMS FOR A QUASILINEAR EVOLUTION EQUATION [J].
CLEMENTS, J .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1974, 26 (04) :745-752
[6]   MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR EQUATIONS OF NONLINEAR 1-DIMENSIONAL VISCOELASTICITY [J].
DAFERMOS, CM .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 6 (01) :71-&
[7]   ON EXISTENCE UNIQUENESS AND STABILITY OF SOLUTIONS OF EQUATION RHOOCHITT = EPSILON(CHIX) + LAMBDACHIXXT [J].
GREENBER.JM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 25 (03) :575-&
[8]  
GREENBERG JM, 1968, J MATH MECH, V17, P707
[9]   ON EXPONENTIAL STABILITY OF SOLUTIONS OF E(UX)UXX + GAMMAUXTX=PUTT [J].
GREENBERG, JM ;
MACCAMY, RC .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 31 (02) :406-+
[10]  
Krasnosel'skii M. A., 1964, TOPOLOGICAL METHOD T