On necessary conditions for the Cauchy problem for evolution equations to be well-posed in classes \(C^ \infty{}\)-functions. I

DOI10.1215/KJM/1250519956zbMath0881.35053OpenAlexW1515000091MaRDI QIDQ1175031

Keiichiro Kitagawa

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1215/kjm/1250519956

zbMATH Keywords

Newton polygonhomogeneous Cauchy problemmicrolocal energy inequalities

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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