On nonlinear coupled reaction-diffusion equations
type: Item
instance of: scholarly article
title: On nonlinear coupled reaction-diffusion equations
zbMATH Open document ID: 0595.35061
DOI: 10.1016/0096-3003(85)90012-8
author: B. G. Pachpatte
published in: Applied Mathematics and Computation
publication date: 1985-01-01T00:00:00Z
review text: The author proves existence and uniqueness of solutions of coupled reaction-diffusion equations. The interesting fact is that he avoids completely hypothesis of monotone character on the reaction functions in the equations. By means of the Green's function representation he converts the problem into a system of Volterra-Fredholm type integral equations; then he applies Banach fixed point theorems. Finally an application of the obtained results is given for a second order nonlinear evolution equation with strong dissipation.
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35A07
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 76R99
zbMATH DE Number: 3957775
zbMATH Keywords: coupled reaction-diffusion equations
zbMATH Keywords: Green's function representation
zbMATH Keywords: Volterra-Fredholm type integral equations
zbMATH Keywords: Banach fixed point theorems
zbMATH Keywords: nonlinear evolution equation
MaRDI profile type: Publication
full work available at URL: 0096-3003(85)90012-8
OpenAlex ID: W2062494923
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description: scientific article; zbMATH DE number 3957775