54 citations · 90 across the 8 of their papers we have counts for
9 papers
Finite time extinction for a critically damped Schr{ö}dinger equation with a sublinear nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
This paper completes some previous studies by several authors on the finite time extinction for nonlinear Schr{ö}dinger equation when the nonlinear damping term corresponds to the…
The dual space of a complex Banach space restricted to the field of real numbers
Pascal Bégout
Solutions of some partial differential equations are obtained as critical points of a real funtional. Then the Banach space where this functional is defined has to be real, otherwi…
On a stationary Schr{ö}dinger equation with periodic magnetic potential
Pascal Bégout, Ian Schindler
We prove existence results for a stationary Schr{ö}dinger equation with periodic magnetic potential satisfying a local integrability condition on the whole space using a critical v…
Finite time extinction for a damped nonlinear Schr{ö}dinger equation in the whole space
Pascal Bégout
We consider a nonlinear Schr{ö}dinger equation set in the whole space with a single power of interaction and an external source. We first establish existence and uniqueness of the…
Finite time extinction for the strongly damped nonlinear Schr{ö}dinger equation in bounded domains
Pascal Bégout, Jesús Ildefonso Díaz
We prove the \textit{finite time extinction property} on for any for some for solutions of the nonlinear Schrödinger problem ${\rm…
On damped second-order gradient systems
Mohamed Ali Jendoubi, Pascal Bégout, Jérôme Bolte +1
Using small deformations of the total energy, as introduced in [31], we establish that damped second order gradient systems ma…
Convergence to Scattering States in the Nonlinear Schrödinger Equation
Pascal Bégout
In this paper, we consider global solutions of the following nonlinear Schrödinger equation in with $(α\in(0,\infty…
A Generalized Interpolation Inequality and its Application to the Stabilization of Damped Equations
Pascal Bégout, Soria Fernando
In this paper, we establish a generalized H{ö}lder's or interpolation inequality for weighted spaces in which the weights are non-necessarily homogeneous. We apply it to the stabil…
Mass Concentration Phenomena for the L^2-Critical Nonlinear Schr{ö}dinger Equation
Pascal Bégout, Ana Vargas
In this paper, we show that any solution of the nonlinear Schr{ö}dinger equation which blows up in finite time, satisfies a mass concentration phen…