Local solvability for semilinear anisotropic partial differential equations

DOI10.1007/BF02505957zbMath1220.35005MaRDI QIDQ2569715

Paola Marcolongo, Alessandro Oliaro

Publication date: 20 October 2005

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

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Classical solutions to PDEs (35A09)

Related Items

On the influence of the lower order terms on the Gevrey local solvability of a class of equations with multiple characteristics ⋮ Local solvability for powers of anisotropic operators ⋮ Local solvability and hypoellipticity for semilinear anisotropic partial differential equations ⋮ Semilinear anisotropic evolution partial differential equations. ⋮ Local solvability for partial differential equations with multiple characteristics in mixed Gevrey-\(C^\infty\) spaces

Cites Work

• Pseudo-differential operators, singularities, applications
• An example of a smooth linear partial differential equation without solution
• On local solvability of linear partial differential operators with multiple characteristics
• Anisotropic Operators with Characteristics of Constant Multiplicity
• On local solvability in gevrey classes of linear partial differential operators with multiple characteristics
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
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