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Inheritance of surjectivity for partial differential operators on spaces of real analytic functions - MaRDI portal

Inheritance of surjectivity for partial differential operators on spaces of real analytic functions (Q1883368)

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scientific article; zbMATH DE number 2107216

Language	Label	Description	Also known as
English	Inheritance of surjectivity for partial differential operators on spaces of real analytic functions	scientific article; zbMATH DE number 2107216

Statements

scholarly article

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Inheritance of surjectivity for partial differential operators on spaces of real analytic functions (English)

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Michael Langenbruch

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Journal of Mathematical Analysis and Applications

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publication date

12 October 2004

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zbMATH Keywords

elementary solutions

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singular support

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.jmaa.2004.04.035

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Propagation of analyticity of solutions of partial differential equations with constant coefficients

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

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The geometry of analytic varieties satisfying the local Phragmén-Lindelöf condition and a geometric characterization of the partial differential operators that are surjective on $\mathcal \{A\}(\mathbb \{R\}^4)$

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Sur les espaces de solutions d'une classe générale d'équations aux dérivées partielles

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On the existence of real analytic solutions of partial differential equations with constant coefficients

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A sharp sufficient geometric condition for the existence of global real analytic solutions on a bounded domain

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On the global existence of real analytic solutions of linear differential equations. I

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Localizations of partial differential operators and surjectivity on real analytic functions

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Surjective partial differential operators on real analytic functions defined on open convex sets

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Characterization of surjective partial differential operators on spaces of real analytic functions

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Phragmén-Lindelöf principles on algebraic varieties

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On the global existence of real analytic solutions of systems of linear differential equations with constant coefficients

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A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of \(R^ 2\).

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A link between \(C^\infty\) and analytic solvability for P.D.E. with constant coefficients

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JMAA.2004.04.035

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Sitelinks

Mathematics(1 entry)

mardi Publication:1883368

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