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Fundamental solution of Cauchy problem for hyperbolic systems and Gevrey class

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Publication:1255639
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DOI10.21099/tkbjm/1496158385zbMath0402.35068OpenAlexW1960724743MaRDI QIDQ1255639

Kunihiko Kajitani

Publication date: 1977

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496158385


zbMATH Keywords

Hyperbolic SystemFundamental SolutionWave Front


Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for PDEs with pseudodifferential operators (35S10)


Related Items (5)

Unnamed Item ⋮ Fourier integral operators of infinite order on \({\mathcal D}_{L^2}^{\{\sigma\}}({\mathcal D}_{L^2}^{\{\sigma\}'})\) with an application to a certain Cauchy problem ⋮ Unnamed Item ⋮ Fourier integral operators in Gevrey class on \({\mathbb{R}}^ n\) and the fundamental solution for a hyperbolic operator ⋮ Pseudo-differential operators of infinite order on \({\mathcal D}_{L^2}^{\{\sigma\}}({\mathcal D}_{L^2}^{\{\sigma\}'})\) and applications to the Cauchy problem for some elementary operators






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