Using the Browder᎐Minty surjective theorem from the theory of monotone operators, we consider the exact internal controllability for the semilinear heat 2 Ž . equation. We show that the system is exactly controllable in L ⍀ if the nonlinearities are globally Lipschitz continuous. Furthermore, we pro
✦ LIBER ✦
Exact null-controllability for the semilinear heat equation with superlinear term and mobile internal controls
✍ Scribed by Alexander Khapalov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 144 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0362-546X
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In this paper we present two results on the existence of insensitizing controls for a heat equation in a bounded domain of R N . We ÿrst consider a semilinear heat equation involving gradient terms with homogeneous Dirichlet boundary conditions. Then a heat equation with a nonlinear term F(y) and li