On the solvability of the Dirichlet problem for the nonlinear wave equation in bounded domains with corner points
type: Item
instance of: scholarly article
title: On the solvability of the Dirichlet problem for the nonlinear wave equation in bounded domains with corner points
zbMATH Open document ID: 0921.35110
author: Abdul Kouider Ben-Naoum
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 1999-10-06T00:00:00Z
review text: Using fixed point theory for non-expansive mappings and Mawhin's coincidence degree arguments the author studies the solvability of the Dirichlet problem for semilinear vibrating string equation \(u_{xx}-u_{yy}+ f(x,y,u)=0\) in a bounded domain \(\Omega\subset \mathbb{R}^2\) with corner points. The results are related to the rotation number associated to the domain.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 1233879
zbMATH Keywords: fixed point theory
zbMATH Keywords: Mawhin's coincidence degree arguments
zbMATH Keywords: rotation number
reviewed by: Vesa Mustonen
MaRDI profile type: Publication
full work available at URL: s000300050054
OpenAlex ID: W2030148657
DOI: 10.1007/S000300050054
description: scientific article; zbMATH DE number 1233879