On local solvability in gevrey classes of linear partial differential operators with multiple characteristics

DOI10.1080/03605308908820589zbMath0668.35002OpenAlexW1966950254MaRDI QIDQ3820980

Andrea Corli

Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820589

zbMATH Keywords

Gevrey classesprincipal symbolbicharacteristic stripnot locally solvable\(C^{\infty}\) coefficientshigher order characteristics

Mathematics Subject Classification ID

Related Items (8)

On the global solvability in Gevrey classes on the \(n\)-dimensional torus ⋮ On the influence of the lower order terms on the Gevrey local solvability of a class of equations with multiple characteristics ⋮ Comparison of two-dimensional polynomials ⋮ Local solvability for powers of anisotropic operators ⋮ Local solvability and hypoellipticity for semilinear anisotropic partial differential equations ⋮ On local solvability of linear partial differential operators with multiple characteristics ⋮ Local solvability for partial differential equations with multiple characteristics in mixed Gevrey-\(C^\infty\) spaces ⋮ Local solvability for semilinear anisotropic partial differential equations

Cites Work

• A necessary condition for the local solvability of the operator \(P^2_m(x,D)+P_{2m-1}(x,D)\)
• A sufficient condition for the local solvability of a linear partial differential operator with double characteristics
• A local solvability result for operators with characteristics having odd order multiplicity
• A necessary condition of local solvability for pseudo-differential equations with double characteristics
• Le problème de Cauchy pour les équations hyperboliques à caractéristique multiple
• Équations et systèmes non-linéaires, hyperboliques non-stricts
• Local solvability of the operator \(u_{tt}+ia(t)u_x+b(t)u_t+c(t)u\)
• On local solvability of linear partial differential equations part I: Necessary conditions
• On local solvability of linear partial differential equations—part II. Sufficient conditions
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