On the Neumann problem for some linear hyperbolic systems of second order
type: Item
instance of: scholarly article
title: On the Neumann problem for some linear hyperbolic systems of second order
zbMATH Open document ID: 0674.35056
author: Yoshihiro Shibata
published in: Tsukuba Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: A unique existence theorem of solutions to the mixed problem for linear hyperbolic systems of second order with generalized inhomogeneous Neumann boundary condition is obtained. The coefficients in the system is only required to be in the space \({\mathcal B}^ 2\), and it is shown that the constants appearing in the first energy inequality depend essentially only on \({\mathcal B}^{1+\mu}\)-norms \((0<\mu \ll 1)\) of coefficients of the operator.
Mathematics Subject Classification ID: 35L55
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 4103602
zbMATH Keywords: energy method
zbMATH Keywords: unique
zbMATH Keywords: existence
zbMATH Keywords: mixed problem
zbMATH Keywords: Neumann boundary condition
zbMATH Keywords: first energy inequality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496160641
OpenAlex ID: W1139512286
DOI: 10.21099/TKBJM/1496160641
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description: scientific article; zbMATH DE number 4103602