Life span of solutions with large initial data for a class of coupled parabolic systems

被引：0

作者：

Xiaojing Xu

Zhuan Ye

机构：

[1] Beijing Normal University,School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Ministry of Education

来源：

Zeitschrift für angewandte Mathematik und Physik | 2013年 / 64卷

关键词：

35K45; 74H40; Coupled parabolic system; Life span; Blow-up;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with a class of coupled systems of parabolic equations subject to large initial data. By constructing and solving a new ODE system, we obtain the accurate life span of solutions (blow-up time) of the expression determined by the initial value.

引用

页码：705 / 717

页数：12

共 50 条

[31] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO COUPLED SEMILINEAR PARABOLIC SYSTEMS WITH BOUNDARY DEGENERACY
Jing, Xinxin
Nie, Yuanyuan
Wang, Chunpeng
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 2021 (67)
[32] GENERAL INITIAL DATA FOR A CLASS OF PARABOLIC EQUATIONS INCLUDING THE CURVE SHORTENING PROBLEM
Chou, Kai-Seng
Kwong, Ying-Chuen
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (05) : 2963 - 2986
[33] Absence of local and global solutions to weakly coupled systems of parabolic inequalities
Guedda, M
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2003, 10 (02) : 209 - 220
[34] LIFE SPAN OF BLOW-UP SOLUTIONS FOR HIGHER-ORDER SEMILINEAR PARABOLIC EQUATIONS
Sun, Fuqin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[35] LIFE-SPAN OF CLASSICAL SOLUTIONS OF INITIAL-BOUNDARY VALUE PROBLEM FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS
Hong, Lu
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2007, 20 (02): : 131 - 154
[36] Existence and asymptotical behavior of solutions of a class of parabolic systems with homogeneous nonlinearity
Wang, Jun
Wang, Xuan
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 81
[37] Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group
Bui, The Anh
Hisa, Kotaro
ANNALI DI MATEMATICA PURA ED APPLICATA, 2024,
[38] BLOW UP AND LIFE SPAN ESTIMATES FOR A CLASS OF NONLINEAR DEGENERATE PARABOLIC SYSTEM WITH TIME DEPENDENT COEFFICIENTS
Xia, Anyin
Fan, Mingshu
Li, Shan
ACTA MATHEMATICA SCIENTIA, 2017, 37 (04) : 974 - 984
[39] Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
Ikeda, Masahiro
Sobajima, Motohiro
MATHEMATISCHE ANNALEN, 2018, 372 (3-4) : 1017 - 1040
[40] Fujita-type theorems for a class of coupled semilinear parabolic systems with gradient terms
Gai, Guanming
Liu, Qiang
Na, Yang
Zhou, Mingjun
ADVANCES IN DIFFERENCE EQUATIONS, 2018,

← 1 2 3 4 5 →