On wave equations with supercritical nonlinearities
type: Item
instance of: scholarly article
title: On wave equations with supercritical nonlinearities
zbMATH Open document ID: 0971.35051
DOI: 10.1007/PL00000418
author: Peter Kumlin
author: Philip Brenner
published in: Archiv der Mathematik
publication date: 2001-10-21T00:00:00Z
review text: The paper deals with solutions of the semilinear hyperbolic equation \[ \partial^2_t u - \Delta u + m^2 u + |u|^{\varrho - 1} u = 0,\;t > 0,\;x \in {\mathbb R}^n, \qquad u|_0 = \varphi , \quad \partial_t u|_0 = \psi, \] where \(n \geq 4, \varrho \in {\mathbb N}\) odd (conditions on \(\varphi\) and \(\psi\)), for \(t > 0\) small.
reviewed by: Hans Triebel
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L15
zbMATH DE Number: 1437100
zbMATH Keywords: local in time solution
zbMATH Keywords: semilinear hyperbolic equation
MaRDI profile type: Publication
full work available at URL: pl00000418
OpenAlex ID: W2062597790
description: scientific article; zbMATH DE number 1437100