On strict and non-strict inequalities in conditions for the Cauchy problem to be well-posed

DOI10.1070/RM1985V040N02ABEH003582zbMath0585.35086OpenAlexW2082270744MaRDI QIDQ3710940

O. V. Zajtseva, Victor Ivrii

Publication date: 1985

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1985v040n02abeh003582

zbMATH Keywords

Cauchy problemssufficient conditionsmicrolocal analysishyperbolic pseudo-differential equations\(C^{\infty }\)-well-posedness

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Ill-posed problems for PDEs (35R25) General theory of partial differential operators (47F05)

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Propagation of singularities for hyperbolic operators with double characteristics

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