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Approximate Controllability for the Semilinear Heat Equation Involving Gradient Terms

✍ Scribed by L. A. Fernández; E. Zuazua


Book ID
110410790
Publisher
Springer
Year
1999
Tongue
English
Weight
743 KB
Volume
101
Category
Article
ISSN
0022-3239

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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