Existence and boundary stabilization of solutions for the coupled semilinear system
โ Scribed by A.O. Marinho; H.R. Clark; M.R. Clark
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 1017 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
We investigate the global existence of both strong and weak solutions for a semilinear coupled system with homogeneous feedback boundary conditions in bounded open domain โฆ in R n with n โ N. We also prove the exponential decay of total energy associated with weak solutions.
๐ SIMILAR VOLUMES
In this paper, we consider the existence of periodic solutions of reaction diffusion systems by using S 1 -degree theory due to Dylawerski et al., see Jodel et al. (Ann. Pol. Math. 41 (1991) 243).
In this paper, some new existence theorems of weak solutions for a class of semilinear elliptic systems are obtained by means of the local linking theorem and the saddle point theorem.
We are concerned with the uniqueness and existence of positive solutions for the following Dirichlet