Local solvability for partial differential equations with multiple characteristics in mixed Gevrey-\(C^\infty\) spaces

DOI10.1007/s10231-009-0116-7zbMath1207.35019OpenAlexW2062786536MaRDI QIDQ1956516

Alessandro Oliaro

Publication date: 22 September 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0116-7

zbMATH Keywords

Gevrey-Sobolev spaces

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Classical solutions to PDEs (35A09)

Cites Work

• An example of a smooth linear partial differential equation without solution
• Microhyperbolic operators in Gevrey classes
• Ultradifferentiable functions and Fourier analysis
• Hyperbolic equations, function spaces with exponential weights and Nemytskij operators
• Local solvability for semilinear anisotropic partial differential equations
• Gevrey Local Solvability for Degenerate Parabolic Operators of Higher Order
• Anisotropic Operators with Characteristics of Constant Multiplicity
• On local solvability in gevrey classes of linear partial differential operators with multiple characteristics
• Local solvability and hypoellipticity for semilinear anisotropic partial differential equations
• On a nonsolvable partial differential operator
• Functional composition in $B_{p,k}$ spaces and applications
• Errata
• Solvability of a first order linear partial differential equation
• Differential equations without solutions
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