Interactions of conormal waves for fully semilinear wave equations
type: Item
instance of: scholarly article
title: Interactions of conormal waves for fully semilinear wave equations
zbMATH Open document ID: 0726.35083
DOI: 10.1016/0022-1236(90)90094-2
author: Antonio Sá Barreto
published in: Journal of Functional Analysis
publication date: 1990-01-01T00:00:00Z
review text: The author proves an existence theorem for the continuation form of the Cauchy problem \(Pu=f(x,u(x)\), \(\nabla u(x))\) where P is a second order strictly hyperbolic differential operator, with initial data strongly conormal to three characteristic hypersurfaces intersecting at the origin and the light cone for P over 0. With suitable assumptions, the author also gives some estimates of the conormal energy for the linear equation with vanishing initial data.
reviewed by: Fabio Rosso
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 4198623
zbMATH Keywords: existence
zbMATH Keywords: Cauchy problem
zbMATH Keywords: characteristic
zbMATH Keywords: conormal energy
MaRDI profile type: Publication
full work available at URL: 0022-1236(90)90094-2
OpenAlex ID: W2000911852
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description: scientific article; zbMATH DE number 4198623