Hypoellipticity in spaces of ultradistributions -- study of a model case

DOI10.1007/s11856-012-0011-6zbMath1286.35079OpenAlexW1969070812MaRDI QIDQ375816

Nicholas Hanges, Paulo D. Cordaro

Publication date: 1 November 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-012-0011-6

zbMATH Keywords

\(C^\infty\)-hypoellipticityanalytic hypoellipticityGevrey ultradistribution spaces

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Hypoelliptic equations (35H10)

Related Items (3)

Analyticity in partial differential equations ⋮ A new microlocal analysis of hyperfunctions ⋮ The presence of symplectic strata improves the Gevrey regularity for sums of squares

Cites Work

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• Hyperfunctions and (analytic) hypoellipticity
• Hypoelliptic second order differential equations
• Nonanalytic-hypoellipticity for some degenerate elliptic operators
• Minimal Microlocal Gevrey Regularity for "Sums of Squares"
• Editorial board

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