Fundamental solutions with partially bounded support

DOI10.1016/0022-247X(83)90121-XzbMath0525.35003MaRDI QIDQ594275

Michael Langenbruch

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

regularitypartial hypoellipticitypartially bounded support

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Smoothness and regularity of solutions to PDEs (35B65) Fundamental solutions to PDEs (35A08) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Linear higher-order PDEs (35G05)

Related Items (3)

On fundamental solutions nearly supported in a half-space for partial differential operators in two variables ⋮ An approximation theorem of Runge type for kernels of certain non-elliptic partial differential operators ⋮ Differentiability and growth of solutions of partial differential equations

Cites Work

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• Randverteilungen von Nullösungen hypoelliptischer Differentialgleichungen
• Darstellung von Distributionen endlicher Ordnung als Randwerte zu hypoelliptischen Differentialoperatoren
• On the division of distributions by polynomials
• Einführung in die Theorie der lokalkonvexen Räume
• On interior regularity of the solutions of partial differential equations
• Partially Hypoelliptic Differential Equations of Finite Type.
• Fortsetzung von Randwerten zu hypoelliptischen Differentialoperatoren und partielle Differentialgleichungen.

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