Conditions for correctness in Gevrey classes of the Cauchy problem for weakly hyperbolic equations

DOI10.1007/BF00967862zbMath0353.35089MaRDI QIDQ1236291

Victor Ivrii

Publication date: 1977

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Initial value problems for higher-order parabolic equations (35K30) Higher-order hyperbolic equations (35L25) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (11)

Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ On the global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ Generalized Levi conditions for weakly hyperbolic equations. An attempt to treat the degeneracy with respect to the space variables ⋮ Pseudo-differential calculus in anisotropic Gelfand-Shilov setting ⋮ On local solvability of linear partial differential operators with multiple characteristics ⋮ Pseudo-differential operators in a Gelfand-Shilov setting ⋮ SG-pseudodifferential operators and Gelfand-Shilov spaces ⋮ Progressive Gelfand-Shilov spaces and wavelet transforms ⋮ Cauchy problem for equations with multiple characteristics ⋮ Schrödinger-type equations in Gelfand-Shilov spaces ⋮ Fourier integral operators in Gevrey class on \({\mathbb{R}}^ n\) and the fundamental solution for a hyperbolic operator

Cites Work

• Asymptotic solutions of oscillatory initial value problems
• Some remarks on the Cauchy problem
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• The correctness of the Cauchy problem
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• Unnamed Item

This page was built for publication: Conditions for correctness in Gevrey classes of the Cauchy problem for weakly hyperbolic equations