@article{COCV_1998__3__83_0, author = {Horsin, T.}, title = {On the controllability of the burger equation}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {83--95}, publisher = {EDP-Sciences}, volume = {3}, year = {1998}, mrnumber = {1612027}, zbl = {0897.93034}, language = {en}, url = {http://www.numdam.org/item/COCV_1998__3__83_0/} }
Horsin, T. On the controllability of the burger equation. ESAIM: Control, Optimisation and Calculus of Variations, Tome 3 (1998), pp. 83-95. http://www.numdam.org/item/COCV_1998__3__83_0/
[1] On the Attainable Set for Scalar Nonlinear Conservation Laws with Boundary Control, SIAM J. of control, to appear. | MR | Zbl
, :[2] Global asymptotic stabilization for controllable systems without drift, Math. Control Signals Systems, 5, 1992, 295-312. | MR | Zbl
:[3] Contrôlabilité exacte frontière de l'équation d'Euler des fluides parfaits incompressibles bidimensionnels, C.-R. Acad. Sci. Paris, 317, Série 1, 1993, 271-276. | MR | Zbl
:[4] On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions, ESAIM: Control, Optimisation and Caleulus of Variations, http://www.emath.fr/cocv/, 1, 1996, 35-75. | Numdam | MR | Zbl
:[5] Sobre la controlabilidad aproximada de problemas no lineales disipativos, proceedings of Jornadas Hispano-Francsas sobre Control de sistemas distribuidos, A. Valle ed., Univ. de Malága, 1990, 41-48. | MR | Zbl
:[6] Contrôlabilité approchée de l'équation de la chaleur semilinaire, C.-R. Acad. Sci. Paris, 315, Série 1, 1992, 807-812. | MR | Zbl
, , :[7] Approximate Controllability of the semilinear heat equation, Proc. of the Royal Soc. of Edinburgh, 125A, 1995, 31-61. | MR | Zbl
, , :[8] On controllability of certain systems simulating a fluid flow, IMA vol. in Math. and its Appl. Flow Control, M.D. Gunzburger ed., Springer Verlag, New York, 68, 1994. | MR | Zbl
, :[9] Controllability of evolution equations, Lecture Notes Series 34, Res. Imst., Math. GARC, Seoul National University, 1996. | MR | Zbl
, :[10] Etude des conditions aux limites pour des systèmes strictement hyperboliques, via l'approximation parabolique, Thèse de l'université Lyon I, 1996. | Zbl
:[11] Hyperbolic systems of conservation laws, Ellipses, 1990. | Zbl
, :[12] Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Regional Conference Series in Applied Mathematics, 11, SIAM: Philadelphia, 1973. | MR | Zbl
:[13] Explicit Formula for Scalar Nonlinear Conservation Laws with boundary condition, Math. Methods Appl. Sci., 10, 1988, 265-287. | MR | Zbl
:[14] Regularity through approximation for scalar conservation laws, SIAM J. Math. Anal., 19, 1988, 763-773. | MR
:[15] Discontinuous solutions of nonlinear differential equations, Usp. Math. Nauk (N.S.), 12, 1957, 3-73; English translation: Amer. Math. Soc. Transl., 26, Ser. 2, 95-172. | MR | Zbl
:[16] Exact Boundary Controllability for the Korteveg-de Vries Equation on a Bounded Domain, ESAIM: Control, Optimisation and Calculus of Variations, http://www.emath.fr/cocv/, 2, 1997, 33-55. | Numdam | MR | Zbl
:[17] Exact boundary value controllability theorems for wave and heat processes in starcomplemented regions, in Differential Games and Control Theory, Roxin, Liu and Sternberg Eds., Marcel Dekker, New York, 1974, 291-319. | MR | Zbl
:[18] The spaces BV and quasilinear equations, Math. USSR Sbornik, 2, 1967, 225-267. | MR | Zbl
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