Well-posedness of differential-operator problems. I: The Cauchy problem in spaces of distributions
DOI10.1007/BF02365212zbMath0922.34055OpenAlexW1983398325MaRDI QIDQ1289230
Publication date: 27 May 1999
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02365212
exponential distributiondistribution semigroup\(d\)-semigroupabstract vector-valued distributionregular \(d\)-semigroupwell-posedness of a Cauchy problem
Functional-differential equations in abstract spaces (34K30) Boundary value problems for functional-differential equations (34K10) Distributions and ultradistributions as boundary values of analytic functions (46F20)
Cites Work
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- Integrated semigroups
- Exponentially bounded C-semigroups and integrated semigroups
- On the exponentially bounded C-semigroups
- Vector-valued Laplace transforms and Cauchy problems
- Some remarks on C-semigroups and integrated semigroups
- Integrated semigroups and their applications to the abstract Cauchy problem
- Singular perturbation and boundary layer for an abstract Cauchy problem
- Interpolation of semigroups and integrated semigroups
- Type reduction and powerful types
- Some remarks on the abstract Cauchy problem
- Integrated semigroups and their application to complete second order Cauchy problems
- \(C\)-semigroups and the Cauchy problem
- A characterisation of exponential distribution semigroups
- Semigroups of operators in locally convex spaces
- Semigruppi regolarizzabili
- Problèmes de Cauchy abstraits et applications à quelques problèmes mixtes
- Semigroups of linear operators in a Banach space
- Integrated semigroups, C-semigroups and the abstract Cauchy problem
- Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
- The Cauchy Problem and a Generalization of the Hille-Yosida Theorem
- Concerning the characterization of generators of distribution semigroups
- General theory of the ill-posed Cauchy problem
- An analogue of a theorem of Laurent Schwartz
- Some properties of regular distribution semi-groups
- Semi-groups of operators in locally convex spaces
- La caractérisation spectrale d'opérateurs générateurs des semi- groupes distributions d'ordre fini de croissance
- Semi-groups of operators in locally convex spaces
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