Integrated semigroups andC-semigroups. Well-posedness and regularization of differential-operator problems

DOI10.1070/RM1994V049N06ABEH002449zbMath0889.47024OpenAlexW2068325054MaRDI QIDQ4872715

A. I. Filinkov, Irina V. Melnikova

Publication date: 1 June 1998

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1994v049n06abeh002449

zbMATH Keywords

Laplace transformabstract Cauchy problemintegrated semigroupsregularizing operators\(C\)-semigroupsuniformly well-posedMiyadera-Feller-Phillips-Hille-Yoshida conditionregular distribution semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items (13)

The \(C\)-regularized semigroup method for partial differential equations with delays ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Properties of Lions's \(d\)-semigroups and generalized well-posedness of the Cauchy problem ⋮ Abstract Cauchy problem for the Bessel-Struve equation ⋮ On semilinear differential inclusions in Banach spaces with nondensely defined operators ⋮ Dirichlet problem on the half-line for an abstract Euler-Poisson-Darboux equation containing powers of an unbounded operator ⋮ Propagators of the Sobolev Equations ⋮ Inverse problems for evolution equations with fractional integrals at boundary-value conditions ⋮ Applications of semigroups of operators to non-elliptic differential operators ⋮ Transmutation Operators as a Solvability Concept of Abstract Singular Equations ⋮ On distribution semigroups with a singularity at zero and bounded solutions of differential inclusions ⋮ A numerical method for solving partial differential algebraic equations ⋮ On impulsive functional differential inclusions with Hille-Yosida operators in Banach spaces

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