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A necessary condition for \(H^{\infty}\)-wellposedness of the Cauchy problem for linear partial differential operators of Schrödinger type

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Publication:1071997
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DOI10.1215/kjm/1250521066zbMath0587.35014OpenAlexW1587699266MaRDI QIDQ1071997

Jiro Takeuchi

Publication date: 1985

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521066

zbMATH Keywords

asymptotic solutionsCauchy problem\(H^{\infty }\)-wellposedness


Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for linear higher-order PDEs (35G10)


Related Items

On \(L^ 2\) well posedness of the Cauchy problem for Schrödinger type equations on the Riemannian manifold and the Maslov theory, Solvability of the Cauchy problem for some operators of Schrödinger type



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