Quasi-distribution semigroups and integrated semigroups

DOI10.1006/jfan.1996.3042zbMath0902.47032OpenAlexW1973509547MaRDI QIDQ1369772

Sheng Wang Wang

Publication date: 16 September 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3042

zbMATH Keywords

generatorfunctional calculusintegrated semigroupsquasi-distribution semigroups

Mathematics Subject Classification ID

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

Related Items

Generation theorems for $\varphi $ Hille-Yosida operators ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ On Fourier transforms of distribution semigroups ⋮ \(C\)-distribution semigroups and \(C\)-ultradistribution semigroups in locally convex spaces ⋮ Degenerate $C$-ultradistribution semigroups in locally convex spaces ⋮ Differential and analytical properties of semigroups of operators ⋮ On the abstract Cauchy problem for operators in locally convex spaces ⋮ Sharp extensions for convoluted solutions of abstract Cauchy problems ⋮ Ultradistribution semigroups ⋮ One-parameter groups of regular quasimultipliers ⋮ Quasi-equicontinous exponential families of generalized function \(C\)-semigroups in locally convex spaces ⋮ Algebra homomorphisms defined via convoluted semigroups and cosine functions ⋮ The abstract Cauchy problem in locally convex spaces ⋮ Unnamed Item ⋮ Structural theorems for ultradistribution semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Vector-valued Laplace transforms and Cauchy problems
• Smooth distribution group and Schrödinger equation in \(L^p(\mathbb{R}^n)\)
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Regularized quasi-spectral distributions
• Spectral distributions and generalization of Stone's theorem
• Existence families, functional calculi and evolution equations
• Local integrated semigroups: Evolution with jumps of regularity
• Regularized semigroups, existence families and the abstract Cauchy problem
• Regularized spectral distributions
• Unbounded holomorphic functional calculus and abstract Cauchy problems for operators with polynomially bounded resolvents
• Problèmes de Cauchy abstraits et applications à quelques problèmes mixtes
• Existence and Uniqueness Families for the Abstract Cauchy Problem
• Spectral Theorem for Unbounded Strongly Continuous Groups on a Hilbert Space
• Mild integrated C-existence families