A class of nonlinear reaction-diffusion equations is studied. We prove that the semigroup of the solutions for the nonlinear reaction-diffusion equation has a global attractor in L 2 (R N ) under some weaker assumptions than those in other papers we could find.
Exponential attractors for a class of reaction-diffusion problems with time delays
✍ Scribed by Maurizio Grasselli; Dalibor Pražák
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 174 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1424-3199
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
By using the continuation theorem due to Mawhin and Gaines, some analysis techniques and the Lyapunov functional method, the sufficient conditions ensuring the existence of an exponential periodic attractor of a class of impulsive differential equations with time-varying delays are established. The
In this paper, the global exponential stabilizability for a class of differential inclusion systems with multiple time delays is considered. Some criteria for global exponential stabilizability of such systems via linear control are provided. A numerical example is provided to illustrate the use of