Cauchy problems for mixed-type operators

DOI10.2977/PRIMS/1195143101zbMath0969.35099OpenAlexW1975906564MaRDI QIDQ1581080

Keisuke Uchikoshi

Publication date: 14 September 2000

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195143101

zbMATH Keywords

correctness of the Cauchy problem

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Degenerate elliptic equations (35J70) Initial value problems for linear higher-order PDEs (35G10) Degenerate hyperbolic equations (35L80)

Cites Work

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• Branching of singularities for degenerate hyperbolic operators
• Symbol theory of microlocal operators
• Micro-hyperbolic pseudo-differential operators. I
• Pseudo-differential operators and Gevrey classes
• Propagation of singularities and uniqueness in the cauchy problem at a class of doubly characteristic points
• Singular cauchy problems for a class of weakly hyperbolic differential operators
• Hypoelliptic operators with double characteristics and related pseudo-differential operators

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