2001

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

2002

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.

2004

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.

2006

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

2007

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.

2012

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.

2014

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.

2015

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.

2019

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

2020

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 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.

2021

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.

2022

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.

2023

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)