Solvability of Lewy equation in the space of the tempered ultrahyperfunctions

DOI10.1007/s11868-012-0052-yzbMath1266.46027OpenAlexW1984930818WikidataQ115377588 ScholiaQ115377588MaRDI QIDQ1941967

Kunio Yoshino, Yasuyuki Oka

Publication date: 25 March 2013

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-012-0052-y

zbMATH Keywords

distributionsGel'fand-Shilov spaceLewy equationtempered ultrahyperfunctionsSobolev-Schwartz theory

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Hyperfunctions, analytic functionals (46F15) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (4)

Solvability of Lewy equation in the space of the tempered ultrahyperfunctions ⋮ An existence and uniqueness result for the Navier-Stokes type equations on the Heisenberg group ⋮ On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth ⋮ On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones

Cites Work

• An example of a smooth linear partial differential equation without solution
• Note on the \(n\)-dimensional tempered ultra distributions
• Solvability of Lewy equation in the space of the tempered ultrahyperfunctions
• Necessary and sufficient conditions for solvability of the Lewy equation
• Theory of tempered ultrahyperfunctions, I
• Solutions hyperfonctions des équations aux dérivées partielles du premier ordre
• On local solvability of linear partial differential equations
• Differential equations without solutions
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