Real analytic parameter dependence of solutions of differential equations over Roumieu classes

DOI10.7169/FACM/1301497748zbMath1221.35050OpenAlexW2075351169MaRDI QIDQ2430136

Paweł Domański

Publication date: 5 April 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1301497748

zbMATH Keywords

convolution operatorGevrey classesultradifferentiable functions of Roumieu typelinear continuous right inverseEhrenpreis-Palamodov fundamental principle

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) Plurisubharmonic functions and generalizations (32U05) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (4)

Right Inverses for P(D) in Spaces of Real Analytic Functions ⋮ Parameter dependence of solutions of the Cauchy-Riemann equation on weighted spaces of smooth functions ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ The Hilbert tensor product and inductive limits

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