On the existence of steady states of certain reaction-diffusion systems
type: Item
instance of: scholarly article
title: On the existence of steady states of certain reaction-diffusion systems
zbMATH Open document ID: 0597.35051
DOI: 10.1007/BF00280435
author: Konrad Gröger
published in: Archive for Rational Mechanics and Analysis
publication date: 1986-01-01T00:00:00Z
review text: This paper extends and improves earlier results by the author [Z. Angew. Math. Mech. 65, 183-185 (1985; Zbl 0584.76093)] on existence of solutions to boundary value problems for elliptic systems of semilinear differential equations describing steady states of reaction-diffusion systems. The results are based on a dissipativity condition to derive \(L^{\infty}\)-boundary for solutions to regularized problems. The reactions of arbitrary order for a space of any dimension can be treated by this technique.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 3962287
zbMATH Keywords: steady states
zbMATH Keywords: reaction-diffusion systems
zbMATH Keywords: dissipativity condition
zbMATH Keywords: regularized problems
MaRDI profile type: Publication
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Asymptotic Behavior of Solutions to a Class of Diffusion-Reaction Equations
cites work: On the Existence of Steady States for a Class of Diffusion-Reaction Systems
cites work: Q4746129
cites work: Q4169288
full work available at URL: https://doi.org/10.1007/bf00280435
OpenAlex ID: W60367076
description: scientific article; zbMATH DE number 3962287