RESEARCH

Domains of interests
 Qualitative properties of solutions to some PDE
 Stabilization

Publications
 Strong stabilization of damped nonlinear Schrödinger equation with saturation on unbounded domains, J. Math. Anal. Appl., 538 (2024), no. 1, Paper No. 128329, with Jesús Ildefonso Díaz
 Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity, Adv. Differential Equations, 28 (2023), no. 34, 311340, with Jesús Ildefonso Díaz
 The dual space of a complex Banach space restricted to the field of real numbers, Adv. Math. Sci. Appl., 31 (2022), no. 2, 241252
 Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity, J. Differ. Equations, 308 (2022), 252285, with Jesús Ildefonso Díaz
 On a Stationary Schrödinger Equation with Periodic Magnetic Potential, RACSAM, 115 (2021), paper no. 72, 132, with Ian Schindler
 Finite time extinction for a damped nonlinear Schrödinger equation in the whole space, Electron. J. Differential Equations, 2020 (2020), no. 39, 118
 Finite time extinction for the strongly damped nonlinear Schrödinger equation in bounded domains, J. Differ. Equations, 268 (2020), no. 7, 40294058, with Jesús Ildefonso Díaz
 On damped secondorder gradient systems, J. Differ. Equations, 259 (2015), no. 7, 31153143 & no. 8, 4412, with Jérôme Bolte and Mohamed Ali Jendoubi
 Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity, RACSAM, 109 (2015), 4363, with Jesús Ildefonso Díaz
 A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity, Discrete Contin. Dyn. Syst. Series A, 34 (2014), no. 9, 33713382, with Jesús Ildefonso Díaz
 Selfsimilar solutions with compactly supported profile of some nonlinear Schrödinger equations, Electron. J. Differential Equations, 2014 (2014), no. 90, 115, with Jesús Ildefonso Díaz
 Localizing estimates of the support of solutions of some nonlinear Schrödinger equations  The stationary case, Ann. Inst. H. Poincaré Anal. Non Linéaire, 29 (2012), no. 1, 3558, with Jesús Ildefonso Díaz
 A generalized interpolation inequality and its application to the stabilization of damped equations, J. Differ. Equations, 240 (2007), no. 2, 324356, with Fernando Soria
 Mass concentration phenomena for the L^{2}critical nonlinear Schrödinger equation, Trans. Am. Math. Soc., 359 (2007), no. 11, 52575282, with Ana Vargas
 On a nonlinear Schrödinger equation with a localizing effect, C. R. Acad. Sci. Paris, Ser. I, 342 (2006), 459463, with Jesús Ildefonso Díaz
 Maximum decay rate for finiteenergy solutions of nonlinear Schrödinger equations, Differential Integral Equations, 17 (2004), no. 1112, 14111422
 Maximum decay rate for the nonlinear Schrödinger equation, NoDEA Nonlinear Differential Equations and Applications, 11 (2004), no. 4, 451467
 Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation, Adv. Math. Sci. Appl., 12 (2002), no. 2, 817827
 Convergence to scattering states in the nonlinear Schrödinger equation, Commun. Contemp. Math., 3 (2001), no. 3, 403418