Propagation of wave front sets of solutions of the Cauchy problem for hyperbolic equations in Gevrey classes
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Publication:1094587
zbMath0631.35052MaRDI QIDQ1094587
Kazuo Taniguchi, Yoshinori Morimoto
Publication date: 1986
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Cauchy problemGevrey classesprincipal symbolpropagation of the wave front setbroken null-bicharacteristicscharacteristics of variable multiplicitiesfirst order pseudo- differential system
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for higher-order hyperbolic equations (35L30)
Related Items (5)
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 ⋮ Propagation of wave front sets of solutions of the Cauchy problem for a hyperbolic system in Gevrey classes ⋮ 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 ⋮ On multi-products of pseudo-differential operators in Gevrey classes and its application to Gevrey hypoellipticity
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