Real analytic parameter dependence of solutions of differential equations

DOI10.4171/RMI/599zbMath1207.35050OpenAlexW2011820764MaRDI QIDQ971965

Paweł Domański

Publication date: 17 May 2010

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1266330122

zbMATH Keywords

currentsconvolution operatorspace of distributionsinjective tensor productPLS-spacespace of ultradistributionssurjectivity of tensorized operators

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) Currents in global analysis (58A25) Plurisubharmonic functions and generalizations (32U05)

Related Items (11)

Right Inverses for P(D) in Spaces of Real Analytic Functions ⋮ Solution to the first Cousin problem for vector-valued quasianalytic functions ⋮ Real analytic parameter dependence of solutions of differential equations over Roumieu classes ⋮ Power bounded composition operators on spaces of analytic functions ⋮ Linear topological invariants for kernels of convolution and differential operators ⋮ Functional properties of Hörmander's space of distributions having a specified wavefront set ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ Surjectivity of differential operators and linear topological invariants for spaces of zero solutions ⋮ Weighted PLB-spaces of continuous functions arising as tensor products of a Fréchet and a DF-space ⋮ A linear topological invariant for spaces of quasianalytic functions of Roumieu type ⋮ The Hilbert tensor product and inductive limits

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