Article

Bégout, Pascal and Diaz, Jesus Ildefonso (2025) On the compactness of the support of solitary waves of the complex saturated nonlinear Schrödinger equation and related problems. Physica D. Nonlinear Phenomena, 472.

Bégout, Pascal and Ildefonso Diaz, Jesus (2023) Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity. Advances in Differential Equations, vol. 28 (N° 3-4). pp. 311-340. (In Press)

Bégout, Pascal and Diaz, Jesus Ildefonso (2022) Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity. Journal of Differential Equations, 308. pp. 252-285.

Bégout, Pascal (2022) The dual space of a complex Banach space restricted to the field of real numbers. Advances in mathematical sciences and applications, vol. 31 (n° 2). pp. 241-252.

Bégout, Pascal and Schindler, Ian (2021) On a stationary schrödinger equation with periodic magnetic potential. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, Vol. 115 (n° 72). pp. 1-32.

Bégout, Pascal (2020) Finite time extinction for a damped nonlinear Schrödinger equation in the whole space. Electronic Journal of Differential Equations, 2020 (39). pp. 1-18.

Bégout, Pascal (2020) Finite time extinction for a damped nonlinear Schrödinger equation in the whole space. Electronic Journal of Differential Equations, Vol. 2020 (N° 39). pp. 1-18.

Bégout, Pascal and Diaz, Jesus Ildefonso (2020) Finite time extinction for the strongly damped nonlinear Schrödinger equation in bounded domains. Journal of Differential Equations, vol.268 (n°7). pp. 4029-4058.

Bégout, Pascal and Diaz, Jesus Ildefonso (2020) Finite time extinction for the strongly damped nonlinear Schrödinger equation in bounded domains. Journal of Differential Equations, Vol. 268 (N° 7). pp. 4029-4058.

Bégout, Pascal and Diaz, Jesus Ildefonso (2015) Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 109 (1). pp. 43-63.

Bégout, Pascal, Bolte, Jérôme and Jendoubi, Mohamed Ali (2015) On damped second-order gradient systems. Journal of Differential Equations, 259 (7). pp. 3115-3143.

Bégout, Pascal and Diaz, Jesus Ildefonso (2014) Self-similar solutions with compactly supported profile of some nonlinear Schrödinger equations. Electronic Journal of Differential Equations, 2014 (90). pp. 1-15.

Bégout, Pascal and Diaz, Jesus Ildefonso (2014) A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity. Discrete and Continuous Dynamical Systems. Series A, 34 (9). pp. 3371-3382.

Bégout, Pascal and Ildefonso Diaz, Jesus (2012) Localizing Estimates of the Support of Solutions of some Nonlinear Schrödinger Equations - The Stationary Case. Annales de l'Institut Henri Poincaré. Analyse Non Linéaire, 29 (1). pp. 35-58.

Bégout, Pascal and Soria de Diego, Fernando (2007) A generalized interpolation inequality and its application to the stabilization of damped equations. Journal of Differential Equations, Vol. 240 (N° 2). pp. 324-356.

Bégout, Pascal and Soria, Fernando (2007) A Generalized Interpolation Inequality and its Application to the Stabilization of Damped Equations. Journal of Differential Equations, 240 (2). pp. 324-356.

Bégout, Pascal and Vargas, Ana (2007) Mass Concentration Phenomena for the L^2-Critical Nonlinear Schrödinger Equation. Transactions of the American Mathematical Society (TRAN), 359 (11). pp. 5257-5282.

Bégout, Pascal and Diaz, Jesus Ildefonso (2006) On a nonlinear Schrödinger equation with a localizing effect. Comptes rendus. Mathematique, 342 (7). pp. 459-463.

Bégout, Pascal (2004) Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations. Differential and Integral Equations. An International Journal for Theory & Applications, 17 (11-12). pp. 1411-1422.

Bégout, Pascal (2004) Maximum Decay Rate for the Nonlinear Schrödinger Equation. NoDEA : Nonlinear Differential Equations and Applications, 11 (4). pp. 451-467.

Bégout, Pascal (2002) Necessary Conditions and Sufficient Conditions for Global Existence in the Nonlinear Schrödinger Equation. Advances in mathematical sciences and applications, 12 (2). pp. 817-827.

Bégout, Pascal (2001) Convergence to Scattering States in the Nonlinear Schrödinger Equation. Communications in Contemporary Mathematics (ccm), 3 (3). pp. 403-418.

Accreditation to supervise research (HDR)

Bégout, Pascal (2019) Étude qualitative de quelques équations et systèmes dynamiques non-linéaires amortis. [Accreditation to supervise research (HDR)]