Existence of steady-state solutions for some one-dimensional conduction problems
type: Item
instance of: scholarly article
title: Existence of steady-state solutions for some one-dimensional conduction problems
zbMATH Open document ID: 0846.34017
author: L. E. Bobisud
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-09-22T00:00:00Z
review text: Existence of a solution to the problem (1) \((k(x, u)u')'= f(x, u)\), \(0\leq x\leq 1\), \(u(0)=a\), \(u(1)=b\) is proved under the assumption that the functions \(k(x,u)\), \(f(x,u)\) are piecewise continuous in \(x\) and some other hypotheses. The proof uses a priori estimates and the topological transversality theorem. Also a free-boundary problem closely related to (1), is investigated.
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 861791
zbMATH Keywords: thermal and electrical conduction
zbMATH Keywords: existence
zbMATH Keywords: a priori estimates
zbMATH Keywords: topological transversality theorem
zbMATH Keywords: free-boundary problem
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1383
OpenAlex ID: W2021167929
DOI: 10.1006/JMAA.1995.1383
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description: scientific article; zbMATH DE number 861791