Continuous linear right inverses for partial differential operators of order 2 and fundamental solutions in half spaces

DOI10.1007/BF02568318zbMath0876.35023MaRDI QIDQ1352991

Dietmar Vogt, B. Alan Taylor, Reinhold Meise

Publication date: 25 November 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156205

zbMATH Keywords

Phragmén-Lindelöf conditionsfundamental solutions in half spacesright inverse on \(E(\mathbb{R}^ n)\)

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) General theory of partial differential operators (47F05) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (11)

Right inverses for linear, constant coefficient partial differential operators on distributions over open half spaces ⋮ Real analytic parameter dependence of solutions of differential equations over Roumieu classes ⋮ The Phragmén Lindelöf condition for evolution for quadratic forms ⋮ Surjectivity of differential operators and linear topological invariants for spaces of zero solutions ⋮ Surjectivity of differential operators and the division problem in certain function and distribution spaces ⋮ Real analytic parameter dependence of solutions of differential equations ⋮ Extension and lacunas of solutions of linear partial differential equations ⋮ Global right inverses for Euler type differential operators on the space of smooth functions ⋮ Fundamental solutions of real homogeneous cubic operators of principal type in three dimensions ⋮ Phragmén-Lindelöf conditions for graph varieties ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

Cites Work

• Unnamed Item
• Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
• Extremal plurisubharmonic functions of linear growth on algebraic varieties
• On the characteristic Cauchy problem
• Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions

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