Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations

Miguel Escobedo, Howard A. Levine

Type: Article

Publication Date: 1995-04-01

Citations: 149

DOI: https://doi.org/10.1007/bf00375126

View Publication

Locations

Archive for Rational Mechanics and Analysis - View

Similar Works

Action	Title	Year	Authors
+	Global existence and blowup for free boundary problems of coupled reaction-diffusion systems	2014	Jianping Sun Haihua Lu Shuanglong Gan Lang Chen
+	Global Solution and Blow-Up for a Class of Nonlinear Reaction Diffusion Coupled Systems	2021	佳幸樊
+	Global existence and finite time blow up for a reaction-diffusion system	2000	M. Wang
+	Blow-up, existence and uniqueness of solutions of a weakly coupled system of reaction-diffusion equations	2003	典晃梅田
+	GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM	1998	Chengshun Jiang Haifeng Li
+	Global existence and finite time blow up for a degenerate reaction–diffusion system	2004	Weibing Deng
+	GLOBAL BLOWUP AND BLOWUP RATE ESTIMATES OF SOLUTIONS FOR A CLASS OF NONLINEAR NON-LOCAL REACTION-DIFFUSION PROBLEMS	2004	Qilin Liu Chunhong Xie Chen Song-lin
+	Global Existence and Finite Time Blow-up for a Reaction-Diffusion System with Three Components	2017	Huiling Li Yang Zhang
+	Critical Non-simultaneous Blow-up Exponents for a Reaction-diffusion System	2011	Bingchen Liu Fengjie Li Sining Zheng
+	Critical exponents and lower bounds of blow-up rate for a reaction–diffusion system	2005	Huiling Li Mingxin Wang
+ PDF Chat	EXISTENCE AND ASYMPTOTIC BEHAVIOR OF REACTION-DIFFUSION SYSTEMS VIA COUPLED QUASI-SOLUTIONS	1982	G.S. Ladde V. Lakshmikantham A. S. Vatsala
+	Global solutions to a system of strongly coupled reaction-diffusion equations	1996	Mokhtar Kirane Saïd Kouachi
+	Blow-up and global solutions for nonlinear reaction–diffusion equations with nonlinear boundary condition	2011	Fei Liang
+	Blow-up and global solutions for nonlinear reaction–diffusion equations with Neumann boundary conditions	2006	Juntang Ding Shengjia Li
+	Global existence and finite time blow-up for a stochastic non-local reaction-diffusion equation	2022	Fei Liang Shuangshuang Zhao
+	Global existence or blow-up for réaction-diffusion systèms with mass control	1995	Didier Schmitt
+ PDF Chat	Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth	2018	Belgacem Rebiai Saïd Bénachour
+	Global Existence and Blow-up for a Nonlinear Reaction-Diffusion System	1997	Hongwei Chen
+	Global existence and global non-existence of solutions to a reaction-diffusion system	2000	Sining Zheng
+	Global existence and nonexistence of solutions for a reaction-diffusion system	2007	雄介山内

Works That Cite This (144)

Action	Title	Year	Authors
+	Estimates on blow-up time of a parabolic system with nonlinear boundary flux	2022	Lingling Zhang Xiaoyue Zhang
+ PDF Chat	Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case	2022	Wenhui Chen Tuan Anh Dao
+ PDF Chat	Global existence and decay in multi-component reaction–diffusion–advection systems with different velocities: oscillations in time and frequency	2020	Björn de Rijk Guido Schneider
+	ASYMPTOTIC SELF-SIMILAR BEHAVIOR OF SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM	2001	Seifeddine Snoussi Slim Tayachi
+	Blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients	2018	Huan Zhang Zhong Bo Fang
+	A nonlinear diffusion system with convection	2005	Sining Zheng Bingchen Liu
+	The simultaneous and non-simultaneous blow-up criteria for a diffusion system	2012	Ling Zheng-qiu Zejia Wang Guoqiang Zhang
+	Blow Up and Global Existence of Solutions to an Inhomogeneous Parabolic System	1998	Qi S. Zhang
+ PDF Chat	On the Critical Fujita Exponent for a Degenerate Parabolic System Coupled Via Nonlinear Boundary Flux	2008	Jun Zhou Chunlai Mu
+	The Blow-Up Rate for a Semilinear Parabolic System	1999	Марек Фила Pavol Quíttner

Works Cited by This (16)

Action	Title	Year	Authors
+	A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations	1991	Howard A. Levine
+	Fujita type results for convective-like reaction diffusion equations in exterior domains	1989	Catherine Bandle Howard A. Levine
+	On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations	1968	Hiroshi Fujita Satoshi Watanabe
+	Semilinear elliptic problems in annular domains	1989	Catherine Bandle Man Kam Kwong
+	A blowup result for the critical exponent in cones	1989	Howard A. Levine Peter Meier
+	Multidimensional nonlinear diffusion arising in population genetics	1978	D. G. Aronson Hans F. Weinberger
+	Existence and non-existence of global solutions for a semilinear heat equation	1981	Fred B. Weissler
+	Geometrical implications of the existence of very smooth bump functions in Banach spaces	1989	Robert Deville
+	Boundedness and blow up for a semilinear reaction-diffusion system	1991	Miguel Escobedo M. A. Herrero
+	Maximum Principles in Differential Equations	1984	Murray H. Protter Hans F. Weinberger