The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations

DOI10.1016/j.aim.2007.07.010zbMath1144.46057OpenAlexW2109864449MaRDI QIDQ2463524

José Bonet, Paweł Domański

Publication date: 12 December 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2007.07.010

zbMATH Keywords

analytic dependence on parameterssplitting of short exact sequencessmooth dependence on parameterslinear partial differential operatorspaces of distributionsPLS-spacefunctor Ext\(^1\)vector valued equation

Mathematics Subject Classification ID

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) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

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