Uniqueness and stability of solutions for a type of parabolic boundary value problem
type: Item
instance of: scholarly article
title: Uniqueness and stability of solutions for a type of parabolic boundary value problem
zbMATH Open document ID: 0701.35078
DOI: 10.1155/S0161171289000918
author: Enrique A. Gonzalez-Velasco
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46475
review text: We consider a boundary value problem consisting of the one-dimensional parabolic equation \(gu_ t=(hu_ x)_ x+q\), where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than for the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values.
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35J35
zbMATH DE Number: 4148706
zbMATH Keywords: stability
zbMATH Keywords: maximum principle
zbMATH Keywords: uniqueness
zbMATH Keywords: nonnegative solution
MaRDI profile type: Publication
OpenAlex ID: W2029916308
Recommended article: Uniqueness of solutions of boundary value problems in unbounded domains for parabolic equations
Recommended article: Q3764555
Recommended article: Q3826963
Recommended article: Q5471486
Recommended article: Sheaf representations of semirings
Recommended article: Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems
Recommended article: Q3705845
Recommended article: Q4889684
Recommended article: Q3472509
Recommended article: On the uniqueness of bounded solutions to singular parabolic problems
description: scientific article; zbMATH DE number 4148706