Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

DOI10.1016/j.jfa.2005.06.007zbMath1094.46006OpenAlexW1978266039MaRDI QIDQ813929

Paweł Domański, José Bonet

Publication date: 2 February 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.06.007

zbMATH Keywords

locally convex spacesconvolution operatorFréchet spacespace of distributionsanalytic dependence on parameterssplitting of short exact sequenceslinear partial differential operatorcontinuous linear right inversefunctor Ext\(^{1}\)space of real analytic functionsvector-valued equation

Mathematics Subject Classification ID

General theory of PDEs and systems of PDEs with constant coefficients (35E20) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

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