On the abstract Cauchy problem for operators in locally convex spaces

DOI10.1007/s13398-011-0052-4zbMath1264.34005OpenAlexW1975385844MaRDI QIDQ1935061

Michael Langenbruch, Paweł Domański

Publication date: 30 January 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-011-0052-4

zbMATH Keywords

Laplace transformresolventabstract Cauchy problemfundamental solutionexponential growthfunctional calculusLaplace hyperfunctions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Laplace transform (44A10) Hyperfunctions, analytic functionals (46F15) Hyperfunctions (32A45) Linear differential equations in abstract spaces (34G10) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (6)

Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions ⋮ Asymptotics of evolution equations beyond Banach spaces ⋮ Hadamard multipliers on spaces of real analytic functions ⋮ On the Laplace transform for vector valued hyperfunctions ⋮ Dissipative operators and additive perturbations in locally convex spaces ⋮ The abstract Cauchy problem in locally convex spaces

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