Local solvability and hypoellipticity for semilinear anisotropic partial differential equations

DOI10.1090/S0002-9947-03-03275-6zbMath1039.35151OpenAlexW1897257052MaRDI QIDQ4806491

Giuseppe De Donno, Alessandro Oliaro

Publication date: 14 May 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03275-6

zbMATH Keywords

semilinear equationsGevrey classeslocal solvability

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Hypoelliptic equations (35H10)

Related Items (6)

Remarks on lower bounds for pseudo-differential operators ⋮ On the influence of the lower order terms on the Gevrey local solvability of a class of equations with multiple characteristics ⋮ Solvability of systems of singular partial differential equations in function spaces ⋮ Local solvability for powers of anisotropic operators ⋮ Local solvability for partial differential equations with multiple characteristics in mixed Gevrey-\(C^\infty\) spaces ⋮ Spaces of anisotropic ultradifferentiable functions and local solvability for semilinear partial differential equations

Cites Work

• Pseudo-differential operators, singularities, applications
• Critical Gevrey index for hypoellipticity of parabolic operators and Newton polygons
• An example of a smooth linear partial differential equation without solution
• On local solvability of linear partial differential operators with multiple characteristics
• Local solvability for semilinear anisotropic partial differential equations
• Anisotropic Operators with Characteristics of Constant Multiplicity
• Quasi-subelliptic estimates for operators with multiple characteristics
• On local solvability in gevrey classes of linear partial differential operators with multiple characteristics
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
• Local and Semi-Global Solvability for Systems of Non-Principal Type
• On the local solvability of semilinear equations
• Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations
• Resolubilite Local Pour des Equations Semi Lineaires Complexes
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