Parametrix of infinite order on Gevrey spaces to the Cauchy problem for hyperbolic operators with one constant multiple characteristic

Publication date: 1987

Published in: Ricerche di Matematica (Search for Journal in Brave)

uniqueness Cauchy problem Gevrey class parametrix ultradistributions representation formula Gevrey spaces propagation of singularities characteristics of constant multiplicity pseudo- differential operators of infinite order

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Analyticity in context of PDEs (35A20) Initial value problems for higher-order hyperbolic equations (35L30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (8)

Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations ⋮ KdV-type equations in projective Gevrey spaces ⋮ 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 ⋮ Wave front set at infinity for tempered ultradistributions and hyperbolic equations ⋮ Unnamed Item ⋮ Infinite Order Pseudo-Differential Operators ⋮ Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions ⋮ 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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