On existence of solutions of mixed problems for parabolic systems
type: Item
instance of: scholarly article
title: On existence of solutions of mixed problems for parabolic systems
zbMATH Open document ID: 0807.35074
DOI: 10.12775/TMNA.1993.034
published in: Topological Methods in Nonlinear Analysis
publication date: 1995-03-01T00:00:00Z
review text: Local and global existence results for quasilinear parabolic systems with nonlinear boundary conditions are established. Analogous results were proved before in \textit{J. Filo} and \textit{J. Kačur} [Comenius University Math. Preprint No. M5-91 (1991), to appear in Nonlinear Anal., Theor. Methods Appl.] for a right hand side that did not depend on the gradient of the solution. In the present paper a stronger monotonicity condition is assumed and the right hand side depends also on the gradient of the solution.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35K50
zbMATH DE Number: 591509
zbMATH Keywords: local and global existence
zbMATH Keywords: quasilinear parabolic systems
zbMATH Keywords: nonlinear boundary conditions
author: E. Zadrzyńska
author: Wojciech M. Zajączkowski
reviewed by: Marek Fila
MaRDI profile type: Publication
full work available at URL: tmna.1993.034
OpenAlex ID: W2595518474
description: scientific article; zbMATH DE number 591509