Sharp extensions for convoluted solutions of abstract Cauchy problems

DOI10.1007/s00020-013-2076-yzbMath1301.47064arXiv1303.6944OpenAlexW1969063653MaRDI QIDQ2441298

Luis Sánchez-Lajusticia, Valentin Keyantuo, Pedro José Miana

Publication date: 24 March 2014

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6944

zbMATH Keywords

Laplace transformabstract Cauchy problemdistribution semigroupsconvoluted semigroups

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) One-parameter semigroups and linear evolution equations (47D06) Laplace transform (44A10) Integrated semigroups (47D62)

Related Items (2)

Unnamed Item ⋮ Sharp extensions and algebraic properties for solution families of vector-valued differential equations

Cites Work

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• On fractional Duhamel's principle and its applications
• Formule de Duhamel abstraite. (Abstract Duhamel formula)
• Algebra homomorphisms defined via convoluted semigroups and cosine functions
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Local integrated semigroups: Evolution with jumps of regularity
• Integrated semigroups and related partial differential equations
• Quasi-distribution semigroups and integrated semigroups
• Perturbation theorems for \(\alpha\)-times integrated semigroups
• Gaussian estimates and \(L^p\)-boundedness of Riesz means
• Sharp extensions for convoluted solutions of wave equations.
• On local \(\alpha \)-times integrated \(C\)-semigroups
• Problèmes de Cauchy abstraits et applications à quelques problèmes mixtes
• Integrated semigroups and differential operators on \(L^ p\) spaces
• On α-times integrated C-semigroups and the abstract Cauchy problem
• a-times integrated semigroups and fractional derivation
• Local C -Semigroups and Local Integrated Semigroups
• Classes of distribution semigroups
• Local and global solutions of well-posed integrated Cauchy problems
• L p Estimates for Schrodinger Evolution Equations
• Distribution semigroups and abstract Cauchy problems
• Automatic extensions of local regularized semigroups and local regularized cosine functions
• FINITE AND LOCAL LAPLACE TRANSFORMS IN BANACH SPACES
• Extension of C ∞ Functions Defined in a Half Space
• Global convoluted semigroups

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