Integrated Semigroups and Higher Order Abstract Equations
✍ Scribed by Liang Jin; Xiao Tijun
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 194 KB
- Volume
- 222
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
Using the theory of integrated semigroups, we obtain some concise and useful criteria.
📜 SIMILAR VOLUMES
We investigate the relationship between abstract linear evolution equations of heat, wave, and Schrodinger types in terms of well-posedness in Banach spaces. More precisely, we study our operators as generators of integrated semigroups and integrated cosine functions. As applications, we consider i
## Abstract The finite integration technique (FIT) is an efficient and universal method for solving a wide range of problems in computational electrodynamics. The conventional formulation in time‐domain (FITD) has a second‐order accuracy with respect to spatial and temporal discretization and is co
## Abstract We are interested in finding the sharp regularity with respect to the time variable of the coefficients of a Schrödinger type operator in order to have a well‐posed Cauchy Problem in __H__^∞^. We consider both the cases of the first derivative that breaks down at a point __t__~0~ and of