Comparison principles for systems of impulsive parabolic equations
type: Item
instance of: scholarly article
title: Comparison principles for systems of impulsive parabolic equations
zbMATH Open document ID: 1076.35549
DOI: 10.1007/BF01758993
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1997-06-01T00:00:00Z
review text: For classical solutions of weakly coupled fully nonlinear parabolic differential equations \(u^{k}_{t} = f^{k}(t,x,u,\nabla u^{k}, \nabla^{2} u^{k}) (x \in Q \subset \mathbb R^{n}, 0 < t < T)\) with various boundary conditions and impulsive perturbations \(u^{k}(t_{i},\cdot) - u^{k}(t_{i}-0,\cdot) = g^{k}(\cdot, u^{k}(t_{i} - 0,\cdot)), 0 < t_{1} < t_{2}< \cdots,\) various weak and strong comparison results are proved, if the system is elliptic and quasimonotonicity holds for the \(f^{k}\) and \(g^{k}\) with respect to the \(u\)-arguments.
reviewed by: Hans Engler
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 1000266
author: Yuriy V. Rogovchenko
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01758993
OpenAlex ID: W2095105326
description: scientific article; zbMATH DE number 1000266