2001

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

Bégout, Pascal (2001) Convergence to scattering states in the nonlinear Schrödinger equation. Communications in Contemporary Mathematics, vol. 3 (n° 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. Mathématique, vol. 342. pp. 459-463.

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 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 de Diego, 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 Vazquez Vargas, Ana MarÍa (2007) Mass concentration for the L²-critical nonlinear Schrödinger equation. Transactions of the American Mathematical Society, vol. 359 (n° 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.

Bégout, Pascal and Diaz, Jesus Ildefonso (2012) Localizing Estimates of the Support of Solutions of some Nonlinear Schrödinger Equations - The Stationary Case. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire Open Archive, vol. 29 (n° 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 Schrodinger equations with a singular nonlinearity. Discrete and Continuous Dynamical Systems, vol. 34 (n° 9). pp. 3371-3382.

Bégout, Pascal and Diaz, Jesus Ildefonso (2014) Self-similar solutions with compactly supported profile of some nonlinear Schrödinger equations. Electronic Journal of Differential Equations, vol. 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, vol. 107 (n° 2). pp. 43-63.

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, Bolte, Jérôme and Jendoubi, Mohamed Ali (2015) On damped second-order gradient systems. Journal of Differential Equations, vol. 259 (n° 7-8). 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 (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.

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.

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).

2022

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. 2 (N° 31). pp. 241-252.

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, Vol. 308. pp. 252-285.

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

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)

2024

Bégout, Pascal and Diaz, Jesus Ildefonso (2024) Strong stabilization of damped nonlinear Schrödinger equation with saturation on unbounded domains. Journal of Mathematical Analysis and Applications, Vol. 1 (N° 538).

2025

Bégout, Pascal and Neveu, Jean-Pierre (2025) Measuring motivational patterns: a formal approach of conservation of resources theory. Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 29 (N° 3). pp. 431-451.

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, vol. 472 (n° 134516).

2026

Bégout, Pascal and Diaz, Jesus Ildefonso (2026) Damped nonlinear Ginzburg-Landau equation with saturation. Part II. Strong Stabilization. Opuscula Mathematica, vol. 46 (n° 2). pp. 185-199.

Bégout, Pascal, Bolte, Jérôme, Mariotti, Thomas and Silva - Àlvarez, Francisco José (2026) Gradient Extremals, Talwegs, Valleys, and Directional Alignment for Generic Gradient Descent. TSE Working Paper, n. 26-1735, Toulouse

Bégout, Pascal and Diaz, Jesus Ildefonso (2026) Damped nonlinear Ginzburg–Landau equation with saturation. Part I. Existence of solutions on general domains. Opuscula Mathematica, vol 46 (n°2). pp. 153-183.