Uniqueness theorem for weak solutions of von Karman evolution equations
type: Item
instance of: scholarly article
title: Uniqueness theorem for weak solutions of von Karman evolution equations
zbMATH Open document ID: 0913.35090
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-05-17T00:00:00Z
review text: The authors consider an initial-boundary value problem for a nonlinear system of two partial differential equations involving the second-order time derivative and the biharmonic operator in two spatial dimensions. Under appropriate conditions, it is shown that this system has a unique weak solution. A similar uniqueness result by a different method was obtained elsewhere [\textit{A. Favini, M. A. Horn, I. Lasiecka} and \textit{D. Tataru,} Differ. Integral Equ. 9, No. 2, 267-294 (1996); addendum ibid. 10, No. 1, 197-200 (1997; Zbl 0847.35070)].
reviewed by: Tuncay Aktosun
Mathematics Subject Classification ID: 35L75
Mathematics Subject Classification ID: 35L35
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 1217020
zbMATH Keywords: nonlinear oscillation of elastic plates
author: Anne Boutet De Monvel
author: I. D. Chueshov
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5681
OpenAlex ID: W2038586224
cites work: Q4112938
cites work: Q5733235
cites work: STRONG SOLUTIONS AND THE ATTRACTOR OF THE VON KÁRMÁN EQUATIONS
cites work: Regularity of solutions and approximate inertial manifolds for von Karman evolution equations
cites work: Q4857690
cites work: Q4062747
cites work: Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation
cites work: Q5890172
cites work: Q4006586
DOI: 10.1006/JMAA.1997.5681
description: scientific article; zbMATH DE number 1217020