Approximate boundary controllability for the heat equation
β Scribed by R.C MacCamy; V.J Mizel; T.I Seidman
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 216 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0022-247X
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## Abstract The approximate controllability for variable coefficients, isotropic, evolution elasticity system is considered. The appropriate unique continuation theorem for solutions of the system is stated. Copyright Β© 2004 John Wiley & Sons, Ltd.
Using the BrowderαMinty surjective theorem from the theory of monotone operators, we consider the exact internal controllability for the semilinear heat 2 Ε½ . equation. We show that the system is exactly controllable in L β if the nonlinearities are globally Lipschitz continuous. Furthermore, we pro