Global carleman estimates for weak solutions of elliptic nonhomogeneous dirichlet problems

International Mathematics Research Notices

Volumn , Issue 16, 2003, Pages 883-913

  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: 0037564177     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s107379280321117x     Document Type: Article

References (9)

1. T. Carleman, Sur un problème d'unicité pour les systèmes d'équations aux dérivées partielles à deux variables indépendantes, Ark. Mat. Astr. Fys. 26 (1939), no. 17, 1-9 (French).
2. G. Fabre and G. Leheau, Prolongement unique des solutions de l'equation de Stokes [Unique continuation of the solutions of the Stokes equation], Comm. Partial Differential Equations 21 (1996), no. 3-4, 573-596 (French).
3. [3] A. V. Fursikov and O. Yu. Imanuvilov, Controllability of Evolution Equations, Lecture Notes Series, vol. 34, Seoul National University, Research Institute of Mathematics, Global Analysis Research Center, Seoul, 1996.
4. L. Hörmander, Linear Partial Differential Operators, Die Grundlehren der mathematischen Wissenschaften, vol. 116, Academic Press, New York, 1963.
5. [5] O. Yu. Imanuvilov, On exact controllability for the Navier-Stokes equations, ESAIM Control Optim. Calc. Var. 3 (1998), 97-131.
6. _, Remarks on exact controllability for the Navier-Stokes equations, ESAIM Control Optim. Calc. Var. 6 (2001), 39-72.
7. O. Yu. Imanuvilov and M. Yamamoto, On Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations, preprint UTMS 98-46, 1998.
8. [8] J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Die Grundlehren der mathematischen Wissenschaften, vol. 170, Springer-Verlag, New York, 1971.
9. [9] M. E. Taylor, Pseudodifferential Operators and Nonlinear PDE, Progress in Mathematics, vol. 100. Birkhäuser Boston. Massachusetts. 1991.