In this paper, we consider the vector-valued Laplace transforms, r-times (r # [0, )) integrated semigroups and regularized semigroups in the context of sequentially complete locally convex spaces. Our theorems develop the corresponding results in [1,11], including the well known integrated version o
Local Integrated Semigroups: Evolution with Jumps of Regularity
β Scribed by W. Arendt; O. Elmennaoui; V. Keyantuo
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 803 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let {T (t)} tβ₯0 be a C 0 -semigroup on a Banach space X with generator A, and let T be the space of all x β X such that the local resolvent Ξ» β R(Ξ», A)x has a bounded holomorphic extension to the right half -plane. For the class of integrable functions Ο on [0, β) whose Fourier transforms are integ
The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and the nonlinear perturbations is studied. The existence, uniqueness, aud a variation of solutions of the system are also given.
## Abstract If \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$u : {\mathbb R}^{n}\supset \Omega \rightarrow {\mathbb R}^{M} $\end{document} locally minimizes the functional β«~Ξ©~__h__(|β__u__|) __dx__ with __h__ such that ${{h^{\prime }(t)}\over{t}} \le h^{\prime \prime