\(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations
type: Item
instance of: scholarly article
title: \(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations
zbMATH Open document ID: 0325.35009
DOI: 10.1007/BF01488969
author: Philip Brenner
published in: Mathematische Zeitschrift
publication date: 1977-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/172472
review text: Local \(L_p\)-\(L_{p'}\)-estimates are proved for certain Fourier integral operators. These estimates are then applied to obtain existence and uniqueness results in \(L_{p'}\), \(p'>2\), for the solution of some semilinear hyperbolic equations with variable coefficients.
reviewed by: Philip Brenner
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35S30
zbMATH DE Number: 3509012
zbMATH Keywords: a-priori estimates
zbMATH Keywords: Fourier integral operators
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: semilinear hyperbolic equations with variable coefficients
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3509012