Optimal Gevrey classes for the existence of solution operators for linear partial differential operators in three variables

DOI10.1016/J.JMAA.2004.06.021zbMath1065.47042OpenAlexW2069106132MaRDI QIDQ1883377

Reinhold Meise, Rüdiger W. Braun, B. Alan Taylor

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.021

zbMATH Keywords

Gevrey classeslinear partial differential operatorsoptimal weightsBeurling ultradifferentiable functions

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (3)

Kernel theorems for the spaces of tempered ultradistributions ⋮ The algebraic surfaces on which the classical Phragmén-Lindelöf theorem holds ⋮ Structural theorems for Gelfand–Shilov spaces

Cites Work

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• Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
• Phragmén-Lindelöf conditions for graph varieties
• Ultradifferentiable functions and Fourier analysis
• On the existence of real analytic solutions of partial differential equations with constant coefficients
• Perturbation of differential operators admitting a continuous linear right inverse on ultradistributions.
• The algebraic surfaces on which the classical Phragmén-Lindelöf theorem holds
• Phragmén-Lindelöf principles on algebraic varieties
• The geometry of analytic varieties satisfying the local Phragmén-Lindelöf condition and a geometric characterization of the partial differential operators that are surjective on $\mathcal \{A\}(\mathbb \{R\}^4)$
• Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions
• A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties
• Characterization of the linear partial di¤erential equations that admit solution operators on Gevrey classes

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