Existence of global solutions for a system of reaction-diffusion equations with exponential nonlinearity

Existence of global solutions for a system of reaction-diffusion equations with exponential nonlinearity

We consider the question of global existence and uniform boundedness of nonnegative solutions of a system of reaction-diffusion equations with exponential nonlinearity using Lyapunov function techniques.

Bibliographic Details
Main Author:	Elhachemi Daddiouaissa
Format:	Article
Language:	English
Published:	University of Szeged 2009-12-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=460

Similar Items

Existence of global solutions for a system of reaction-diffusion equations having a triangular matrix
by: El Hachemi Daddiouaissa
Published: (2008-10-01)

Exponential Growth of Solution for a Class of Reaction Diffusion Equation with Memory and Multiple Nonlinearities
by: Jian Dang, et al.
Published: (2017-09-01)

Existence of global solutions for systems of reaction-diffusion equations on unbounded domains
by: Salah Badraoui
Published: (2002-08-01)

Existence and nonexistence of global solutions for doubly nonlinear diffusion equations with logarithmic nonlinearity
by: Cong Le Nhan, et al.
Published: (2018-08-01)

Blowup and existence of global solutions to nonlinear parabolic equations with degenerate diffusion
by: Zhengce Zhang, et al.
Published: (2013-11-01)

Existence and Global Exponential Stability of Equilibrium Solution to Reaction-Diffusion Recurrent Neural Networks on Time Scales
by: Kaihong Zhao, et al.
Published: (2010-01-01)

Global exponential stability and existence of periodic solutions of fuzzy wave equations
by: Wei Liu, et al.
Published: (2020-01-01)

Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities
by: Samir Bendoukha, et al.
Published: (2016-06-01)

Lie and Q-Conditional Symmetries of Reaction-Diffusion-Convection Equations with Exponential Nonlinearities and Their Application for Finding Exact Solutions
by: Roman Cherniha, et al.
Published: (2018-04-01)

Global existence and exponential decay of strong solutions for the three-dimensional Boussinesq equations
by: Zhaoyang Shang, et al.
Published: (2020-02-01)

Blow-up and global existence for nonlinear reaction-diffusion equations under Neumann boundary conditions
by: Juntang Ding
Published: (2016-03-01)

Existence of weak solutions to a nonlinear reaction-diffusion system with singular sources
by: Ida de Bonis, et al.
Published: (2017-09-01)

Global existence of reaction-diffusion equations over multiple domains
by: Ryan, John Maurice-Car
Published: (2006)

Existence of Peregrine type solutions in fractional reaction–diffusion equations
by: Agustin Besteiro, et al.
Published: (2019-02-01)

Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations
by: Bashir Ahmad, et al.
Published: (2020-11-01)

Existence of global solutions to reaction-diffusion systems via a Lyapunov functional
by: Said Kouachi
Published: (2001-10-01)

Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions
by: Huimin Tian, et al.
Published: (2020-03-01)

The existance of multiple steady-state solutions of a reaction-diffusion equation
by: Lee, Isobel Micheline
Published: (1988)

Exponential Stability of Traveling Waves for a Reaction Advection Diffusion Equation with Nonlinear-Nonlocal Functional Response
by: Rui Yan, et al.
Published: (2017-01-01)

Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation
by: Navnit Jha, et al.
Published: (2019-08-01)

On a Nonlinear System of Reaction-Diffusion Equations
by: G. A. Afrouzi, et al.
Published: (2006-05-01)

On positive solutions of reaction-diffusion equation with Caratheodory nonlinear term
by: O. V. Kapustyan, et al.
Published: (2009-09-01)

Existence and global behavior of the solution to a parabolic equation with nonlocal diffusion
by: Fengfei Jin, et al.
Published: (2021-03-01)

Phenomena of Blowup and Global Existence of the Solution to a Nonlinear Schrödinger Equation
by: Xiaowei An, et al.
Published: (2013-01-01)

Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays
by: Xinsong Yang, et al.
Published: (2010-01-01)

Existence of Exponential p-Stability Nonconstant Equilibrium of Markovian Jumping Nonlinear Diffusion Equations via Ekeland Variational Principle
by: Ruofeng Rao, et al.
Published: (2015-01-01)

On Nonlinear Nonlocal Systems of Reaction Diffusion Equations
by: B. Ahmad, et al.
Published: (2014-01-01)

Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory
by: Georg Hetzer
Published: (1996-07-01)

ON EXISTENCE OF BOUNDED FEASIBLE SOLUTIONS TO NEUMANN BOUNDARY CONTROL PROBLEM FOR p-LAPLACE EQUATION WITH EXPONENTIAL TYPE OF NONLINEARITY
by: Peter I. Kogut, et al.
Published: (2018-05-01)

Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities
by: Li Yin, et al.
Published: (2010-01-01)

EXPONENTIAL DECAY OF THE WEAK SOLUTION OF A NONLINEAR WAVE EQUATION
by: Yolanda Silvia Santiago Ayala
Published: (2014-09-01)

Entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity
by: Rui Yan, et al.
Published: (2018-04-01)

Existence of Solutions for a Quasilinear Reaction Diffusion System
by: Canrong Tian
Published: (2012-01-01)

On existence and global attractivity of periodic solutions of nonlinear delay differential equations
by: Chuanxi Qian, et al.
Published: (2019-01-01)

Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation
by: Ye Yaojun
Published: (2010-01-01)

Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation
by: Yaojun Ye
Published: (2010-01-01)

Existence and Number of Global Solutions to Model Nonlinear Partial Differential Equations
by: Galstyan, Anahit
Published: (2005)

Exponential attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity
by: Jianbo Yuan, et al.
Published: (2021-08-01)

GLOBAL EXISTENCE AND EXPONENTIAL DECAY TO THE WAVE EQUATION WITH LOCALIZED FRICTIONAL DAMPING
by: Yolanda Silvia Santiago Ayala, et al.
Published: (2014-09-01)

Existence, uniqueness and exponential decay of solutions to Kirchhoff equation in R^n
by: Flavio Roberto Dias Silva, et al.
Published: (2016-09-01)