Very singular solutions to a nonlinear parabolic equation with absorption.: I.: Existence

被引:24
作者
Benachour, S
Laurençot, P
机构
[1] Univ Nancy 1, Inst Elie Cartan Nancy, F-54506 Vandoeuvre Nancy, France
[2] Univ Nancy 1, CNRS, F-54506 Vandoeuvre Nancy, France
关键词
D O I
10.1017/S0308210500000779
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the existence of a very singular solution to u(t) - Deltau + \delu\(p) = 0 in (0, +infinity) X R-N, when I < p < (N + 2)/(N + 1).
引用
收藏
页码:27 / 44
页数:18
相关论文
共 24 条
[1]  
Amann H., 1995, MONOGRAPHS MATH, V89
[2]   Global existence and decay for viscous Hamilton-Jacobi equations [J].
Amour, L ;
Ben-Artzi, M .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (5-6) :621-628
[3]   Decay of mass for a semilinear parabolic equation [J].
Ben-Artzi, M ;
Koch, H .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1999, 24 (5-6) :869-881
[4]   Global solutions to viscous Hamilton-Jacobi equations with irregular initial data [J].
Benachour, S ;
Laurençot, P .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1999, 24 (11-12) :1999-2021
[5]   Very singular solutions to a nonlinear parabolic equation with absorption [J].
Benachour, S ;
Laurençot, P .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (03) :215-220
[6]  
BENACHOUR S, UNPUB VERY SINGULAR, V2
[7]  
BENACHOUR S, UNPUB COMPORTEMENT A
[8]  
BREZIS H, 1983, J MATH PURE APPL, V62, P73
[9]  
BREZIS H, 1986, ARCH RATION MECH AN, V95, P185, DOI 10.1007/BF00251357
[10]   SOME BLOWUP RESULTS FOR A NONLINEAR PARABOLIC EQUATION WITH A GRADIENT TERM [J].
CHIPOT, M ;
WEISSLER, FB .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (04) :886-907