Right inverses for linear, constant coefficient partial differential operators on distributions over open half spaces

DOI10.1007/S000130050061zbMath0879.35032OpenAlexW2076913335MaRDI QIDQ1358265

Dietmar Vogt, Reinhold Meise, B. Alan Taylor

Publication date: 6 July 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/41826

zbMATH Keywords

fundamental solution

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) Convexity properties of solutions to PDEs with constant coefficients (35E10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (2)

On fundamental solutions nearly supported in a half-space for partial differential operators in two variables ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

Cites Work

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• Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
• Continuous linear right inverses for partial differential operators of order 2 and fundamental solutions in half spaces
• Extremal plurisubharmonic functions of linear growth on algebraic varieties
• On the characteristic Cauchy problem
• Extension of zero-solutions of partial differential operators with dominating principal part.
• A Decomposition Lemma for Entire Functions and its Applications to Spaces of Ultradifferentiable Functions
• Phragmén-Lindelöf principles on algebraic varieties

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