Some examples of hyperbolic equations without local solvability

DOI10.24033/asens.1578zbMath0702.35146OpenAlexW158407425MaRDI QIDQ3480546

Sergio Spagnolo, Ferruccio Colombini

Publication date: 1989

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1989_4_22_1_109_0

zbMATH Keywords

hyperbolic equationslocal solvabilityHölder continuous coefficients

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

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• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Non-uniqueness in hyperbolic Cauchy problems
• Propagation of singularities and semi-global existence theorems for (pseudo-)differential operators of principal type
• On local solvability of linear partial differential equations—part II. Sufficient conditions

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