A non-existence theorem of lacunas for hyperbolic differential operators with constant coefficients

DOI10.1007/BF02384510zbMath1087.35022OpenAlexW2044799857MaRDI QIDQ1428375

Moto-o Uchida

Publication date: 19 May 2005

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384510

zbMATH Keywords

fundamental solutionlacunaHyperbolic differential operator

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Analyticity in context of PDEs (35A20) Higher-order hyperbolic equations (35L25) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Cites Work

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• The wave front set of the fundamental solution of a hyperbolic operator with double characteristics
• The analytic continuation of generalized functions with respect to a parameter
• Lacunas for hyperbolic differential operators with constant coefficients.I
• Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients
• Le problème de M. Hadamard rélatif à la diffusion des ondes

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