Very singular solutions to a nonlinear parabolic equation with absorption

被引:4
作者
Benachour, S [1 ]
Laurençot, P [1 ]
机构
[1] Univ Nancy 1, Inst Elie Cartan Nancy, F-54506 Vandoeuvre Nancy, France
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 328卷 / 03期
关键词
D O I
10.1016/S0764-4442(99)80124-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove the existence of a very singular solution to u(t) - Delta u + \del u\(p) = 0 in (0, +infinity) x R-N, when 1 < p < (N + 2)/(N + 1). (C) Academie des Sciences/Elsevier, Paris.
引用
收藏
页码:215 / 220
页数:6
相关论文
共 9 条
[1]  
BENACHOUR S, UNPUB VERY SINGULAR
[2]  
BENACHOUR S, 1998, GLOBAL SOLUTIONS VIS
[3]  
BENACHOUR S, UNPUB COMPORTEMENT A
[4]  
BREZIS H, 1983, J MATH PURE APPL, V62, P73
[5]  
BREZIS H, 1986, ARCH RATION MECH AN, V95, P185, DOI 10.1007/BF00251357
[6]   SINGULAR SOLUTIONS OF SOME NONLINEAR PARABOLIC EQUATIONS [J].
KAMIN, S ;
VAZQUEZ, JL .
JOURNAL D ANALYSE MATHEMATIQUE, 1992, 59 :51-74
[7]   SINGULAR SOLUTIONS OF THE HEAT-EQUATION WITH ABSORPTION [J].
KAMIN, S ;
PELETIER, LA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 95 (02) :205-210
[8]  
OSWALD L, 1988, HOUSTON J MATH, V14, P543
[9]  
VAZQUEZ JL, 1993, MATH APPL, V47, P215