Solvability of the initial-boundary value problem for an integrodifferential equation
type: Item
instance of: scholarly article
title: Solvability of the initial-boundary value problem for an integrodifferential equation
zbMATH Open document ID: 1254.45011
DOI: 10.1134/S0037446612020127
author: I. V. Prokhorov
published in: Siberian Mathematical Journal
publication date: 2012-11-14T00:00:00Z
review text: The authors discuss the solvability of the initial-boundary value problem for an integrodifferential equation. They consider the case of non stationary equation in a medium with plane-parallel geometry. The authors reduce the question of solvability of the initial-boundary value problem to proof the existence of semigroup of re for some abstract cauchy problem solvents. They finally apply the resulting estimates for the order of growth of the semigroup and inspect the conditions for the stabilization of a nonstationary solution.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 6105681
zbMATH Keywords: nonstationary equation
zbMATH Keywords: generalized matching conditions
zbMATH Keywords: strongly continuous semigroup
MaRDI profile type: Publication
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full work available at URL: s0037446612020127
OpenAlex ID: W2069714386
description: scientific article; zbMATH DE number 6105681