Visiting IMI from December 8th, to 15th, 2009. Research interests:
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Global existence for the nonlinear Schrödinger equation
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Blow-up phenomena for the nonlinear Schrödinger equation
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Asymptotic behavior for the nonlinear Schrödinger equation
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Stabilization - Controllability
Main recent publications:
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Begout, P., "An interolation inequality and its
application to the stabilization of damped equations", in
collaboration with Fernando Soria, J. Differ. Equations,
240(2) 324-356 (2007)
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Bčgout, P., "Mass concentration phenomena for L2-critical
nonlinear Schöringer equation", in collaboration with Ana Vargas
(UAM), Trans. Am. Math. Soc., 359(11) 5257-5282 (2007)
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Bégout, P., "On non linear Schrödinger equation with a
lozalizing effect", in collaboration with Jesús Ildefonso Díaz,
C.R. Acad. Paris, Ser. I, 342, 459-463 (2006)
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Bégout, P., "Maximum decay rate for finite-energy solutions of
nonlinear Schrödinger equations", Differential Integral
Equation, 17,(11-12), 1411-1422 (2004)
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