A parameter property of classical solutions of Cauchy problems
From MaRDI portal
Publication:1723935
DOI10.1155/2014/363089zbMath1469.34080OpenAlexW2059986814WikidataQ59036657 ScholiaQ59036657MaRDI QIDQ1723935
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/363089
Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Classical solutions to PDEs (35A09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A class of integrodifferential equations with memory
- Semigroups of linear operators and applications to partial differential equations
- Vector-valued Laplace transforms and Cauchy problems
- Convergence theorems for integrated semigroups
- The Hille-Yosida and Trotter-Kato theorems for integrated semigroups
- On the convergence and approximation of integrated semigroups
- On continuity in parameters of integrated semigroups
- ``Integrated semigroups and integrated solutions to abstract Cauchy problems