Null controllability of nonlinear convective heat equations

Authors
Anita, S Barbu, V
Citation
S. Anita et V. Barbu, Null controllability of nonlinear convective heat equations, ESAIM CO OP, 5, 2000, pp. 157-173
Citations number
17
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN journal
12623377 → ACNP
Volume
5
Year of publication
2000
Pages
157 - 173
Database
ISI
SICI code
1262-3377(2000)5:<157:NCONCH>2.0.ZU;2-8
Abstract
The internal and boundary exact null controllability of nonlinear convectiv e heat equations with homogeneous Dirichlet boundary conditions are studied . The methods we use combine Kakutani fixed point theorem, Carleman estimat es for the backward adjoint linearized system, interpolation inequalities a nd some estimates in the theory of parabolic boundary value problems in L-k .