Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory

被引：0

作者：

Philippe Souplet

机构：

[1] Département de Mathématiques,

[2] Université de Picardie,undefined

[3] INSSET,undefined

[4] Laboratoire de Mathématiques Appliquées,undefined

[5] UMR CNRS 7641,undefined

[6] Université de Versailles,undefined

来源：

Zeitschrift für angewandte Mathematik und Physik ZAMP | 2004年 / 55卷

关键词：

35K60; 35B40; 35R10; Nonlocal parabolic equation; nonlinear memory; blow-up rate; monotonicity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show the existence of monotone in time solutions for a semilinear parabolic equation with memory. The blow-up rate estimate of the solution is known to be a consequence of the monotonicity property.

引用

页码：28 / 31

页数：3

共 50 条

[1] Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory
Souplet, P
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2004, 55 (01): : 28 - 31
[2] Blow-up for semilinear parabolic equations with nonlinear memory
Yuxiang Li
Chunhong Xie
Zeitschrift für angewandte Mathematik und Physik ZAMP, 2004, 55 : 15 - 27
[3] Blow-up for semilinear parabolic equations with nonlinear memory
Li, YX
Xie, CH
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2004, 55 (01): : 15 - 27
[4] BLOW-UP OF SOLUTIONS OF PARABOLIC EQUATIONS WITH NONLINEAR MEMORY
BELLOUT, H
JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 70 (01) : 42 - 68
[5] BLOW-UP OF SOLUTIONS OF SUPERCRITICAL SEMILINEAR PARABOLIC EQUATIONS
HERRERO, MA
VELAZQUEZ, JJL
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (02): : 141 - 145
[6] Complete blow-up of solutions for degenerate semilinear parabolic equations
Chan, CY
Chan, WY
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2003, 10 (1-3): : 411 - 415
[7] BLOW-UP OF SOLUTIONS OF SEMILINEAR PARABOLIC DIFFERENTIAL-EQUATIONS
MEIER, P
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1988, 39 (02): : 135 - 149
[8] Blow-up solutions for a class of semilinear elliptic and parabolic equations
Du, YH
Huang, QG
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1999, 31 (01) : 1 - 18
[9] Dependence of the Blow-up Time with Respect to Parameters for Semilinear Parabolic Equations with Nonlinear Memory
Huang HuI~(1
Communications in Mathematical Research, 2009, 25 (03) : 246 - 252
[10] BLOW-UP OF SOLUTIONS FOR A SYSTEM OF NONLINEAR PARABOLIC EQUATIONS
Wu, Shun-Tang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

← 1 2 3 4 5 →