Surjectivity of Partial Differential Operators on Gevrey Classes and Extension of Regularity

DOI10.1002/mana.19981960106zbMath0933.35044OpenAlexW2037947864MaRDI QIDQ4227963

Michael Langenbruch

Publication date: 29 March 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19981960106

zbMATH Keywords

ultradifferentiable functions of Roumieu type\(\omega\)-ultradistributions of Roumieu type

Mathematics Subject Classification ID

Convexity properties of solutions to PDEs with constant coefficients (35E10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items

Surjective partial differential operators on spaces of ultradifferentiable functions of Roumieu type ⋮ Parameter dependence of solutions of the Cauchy-Riemann equation on weighted spaces of smooth functions ⋮ Real analytic parameter dependence of solutions of differential equations over Roumieu classes ⋮ Intersections of Fréchet spaces and (LB)-spaces

Cites Work

• Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
• Ultradifferentiable functions and Fourier analysis
• The surjectivity of a constant coefficient homogeneous differential operator in the real analytic functions and the geometry of its symbol
• Surjective partial differential operators on spaces of ultradifferentiable functions of Roumieu type
• Propagation of analyticity of solutions of partial differential equations with constant coefficients
• Bases in solution sheaves of systems of partial differential equations.
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