On a priori energy estimates for characteristic boundary value problems
type: Item
instance of: scholarly article
title: On a priori energy estimates for characteristic boundary value problems
zbMATH Open document ID: 1311.35043
author: Alessandro Morando
author: Paolo Secchi
author: Paola Trebeschi
published in: The Journal of Fourier Analysis and Applications
publication date: 2015-01-09T00:00:00Z
full work available at URL: http://hdl.handle.net/11379/390906
review text: Motivated by the study of certain nonlinear free-boundary value problems for hyperbolic systems of partial differential equations arising in magneto-hydrodynamics, in this paper the authors show that an a priori estimate of the solution to certain boundary value problems, in the conormal Sobolev space \(H^{1}_{\mathrm{tan}}\), can be transformed into an \(L^{2}\) a priori estimate of the same problem.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35L50
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 6384993
zbMATH Keywords: characteristic boundary
zbMATH Keywords: anisotropic and conormal Sobolev spaces
MaRDI profile type: Publication
OpenAlex ID: W1987350525
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DOI: 10.1007/S00041-014-9335-4
description: scientific article; zbMATH DE number 6384993