On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
type: Item
instance of: scholarly article
title: On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces
zbMATH Open document ID: 1136.35399
DOI: 10.1155/S0161171202004507
author: Abdelfatah Bouziani
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/54059
review text: Summary: The aim of this paper is to prove the existence, uniqueness, and continuous dependence upon the data of a generalized solution for certain singular parabolic equations with initial and nonlocal boundary conditions. The proof is based on an a priori estimate established in nonclassical function spaces, and on the density of the range of the operator corresponding to the abstract formulation of the considered problem.
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 46N20
zbMATH DE Number: 1779126
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1779126