Partial differential equations without solution operators in weighted spaces of (generalized) functions

DOI10.1007/BF01180774zbMath0604.35005MaRDI QIDQ1083603

Michael Langenbruch

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/155176

zbMATH Keywords

constant coefficientsright inverseYoung conjugatehypoellipticclassical weighted spacespositive convex weight functionsemielliptic nonelliptic polynomial

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Related Items (2)

Real roots of polynomials and right inverses for partial differential operators in the space of tempered distributions ⋮ The splitting condition for the weighted \(\overline \partial\)-complex

Cites Work

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• Solution operators for partial differential equations in weighted Gevrey spaces
• Sequence space representations for weighted solution spaces of hypoelliptic systems of partial differential operators
• Charakterisierung der Unterräume von \((s)\)
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
• Splitting of Closed Ideals in (DFN)-Algebras of Entire Functions and the Property (DN)
• Sequence space representations for (FN)-algebras of entire functions modulo closed ideals
• Complemented kernels of partial differential operators in weighted spaces of (generalized) functions
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau

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