Global Carleman estimates for weak solutions of elliptic nonhomogeneous Dirichlet problems;Estimations de Carleman globales pour des solutions faibles de problèmes elliptiques avec condition de Dirichlet non homogène

Comptes Rendus Mathematique

Volumn 335, Issue 1, 2002, Pages 33-38

  Imanuvilov, Oleg Yu ^a   Puel, Jean Pierre ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b UNIVERSITÉ DE VERSAILLES SAINT QUENTIN EN YVELINES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037715357     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02389-0     Document Type: Article

References (9)

1. C. Fabre, G. Lebeau, Prolongement unique des solutions de l'équation de Stokes, Comm. Partial Differential Equations 21 (1996) 573-596.
2. A. Fursikov, O. Imanuvilov, Controllability of Evolution Equations, Lecture Notes Series, Vol. 34, Seoul National University, 1996.
3. L. Hörmander, Linear Partial Differential Operators, Academic Press-Springer-Verlag, New York, Berlin, 1963.
4. O. Imanuvilov, On exact controllability for the Navier-Stokes equations, ESAIM: Control Optim. Calc. Var. 3 (1998) 97-131, www.emath.fr/cocv/.
5. O. Imanuvilov, Remarks on exact controllability for Navier-Stokes equations, ESAIM: Control Optim. Calc. Var. 6 (2001) 39-72, www.emath.fr/cocv/.
6. O. Imanuvilov, J.-P. Puel, Global Carleman estimates for weak elliptic nonhomogeneous Dirichlet problem, to appear.
7. O. Imanuvilov, M. Yamamoto, Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations, UTMS 98-46.
8. J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, Berlin, 1971.
9. M. Taylor, Pseudodifferential Operators and Nonlinear PDE, Birkhäuser, Berlin, 1991.