\(L^ 2\)-theory of singular perturbation of hyperbolic equations. I: A priori estimates with parameter \(\epsilon\)

DOI10.3792/pjaa.63.386zbMath0668.35005OpenAlexW2004141598MaRDI QIDQ1118097

Kôichi Uchiyama

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.386

zbMATH Keywords

small parameterCauchy problemssmooth coefficientsstrictly hyperbolic\(L^ 2\) estimatesLeray-Gårding inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45) Initial value problems for higher-order hyperbolic equations (35L30)

Cites Work

• Some comments on wave propagation and shock wave structure with application to magnetohydrodynamics
• A note on the stability condition for certain wave propagation problems
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