Coercive solvability of the nonlocal boundary value problem for parabolic differential equations
type: Item
instance of: scholarly article
title: Coercive solvability of the nonlocal boundary value problem for parabolic differential equations
zbMATH Open document ID: 0996.35027
DOI: 10.1155/S1085337501000495
author: A. Hanalyev
author: Allaberen Ashyralyev
author: P. E. Sobolevskii
published in: Abstract and Applied Analysis
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49465
review text: Summary: The nonlocal boundary value problem, \(v'(t) + Av(t) = f(t)\) \((0 \leq t \leq 1)\), \(v(0) = v(\lambda) + \mu\) \((0 < \lambda \leq 1)\), in an arbitrary Banach space \(E\) with the strongly positive operator \(A\), is considered. The coercive stability estimates in Hölder norms for the solution of this problem are proved. The exact Schauder's estimates in Hölder norms of solutions of the boundary value problem on the range \(\{0 \leq t \leq 1\), \(x \in {\mathbb{R}}^n\}\) for \(2m\)-order multidimensional parabolic equations are obtained.
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 47J35
Mathematics Subject Classification ID: 35K90
zbMATH DE Number: 1780514
zbMATH Keywords: coercive stability estimates
zbMATH Keywords: Schauder's estimates in Hölder norms
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1780514