The surjectivity of a constant coefficient homogeneous differential operator in the real analytic functions and the geometry of its symbol

DOI10.5802/aif.1454zbMath0816.35007OpenAlexW2320558547WikidataQ115159062 ScholiaQ115159062MaRDI QIDQ1842214

Rüdiger W. Braun

Publication date: 18 April 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_1_223_0

zbMATH Keywords

singularitiespartial differential operatorPhragmén-Lindelöf condition

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Convexity properties of solutions to PDEs with constant coefficients (35E10)

Related Items

Inheritance of surjectivity for partial differential operators on spaces of real analytic functions, Examples on projective spectra of \((\text{LB})\)-spaces, Surjective partial differential operators on spaces of ultradifferentiable functions of Roumieu type, Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions, 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 $\mathcal \{A\}(\mathbb \{R\}^4)$, Surjectivity of Partial Differential Operators on Gevrey Classes and Extension of Regularity

Cites Work

• Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
• Ultradifferentiable functions and Fourier analysis
• On the existence of real analytic solutions of partial differential equations with constant coefficients
• Introduction to the theory of analytic spaces
• Propagation of analyticity of solutions of partial differential equations with constant coefficients
• Phragmén-Lindelöf principles on algebraic varieties
• Characterization of the Linear Partial Differential Operators with Constant Coefficients Which are Surjective on Non‐quasianalytic Classes of Roumieu Type on ℝ^N
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