22 citations · 57 across the 7 of their papers we have counts for
7 papers
Finite time extinction for a class of damped Schr{ö}dinger equations with a singular saturated nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
We present some sharper finite extinction time results for solutions of a class of damped nonlinear Schr{ö}dinger equations when the nonlinear damping term corresponds to the limit…
Existence of weak solutions to some stationary Schr{ö}dinger equations with singular nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equations associated to the complex Schr\''{o}dinger operator under the presence of a s…
Self-similar solutions with compactly supported profile of some nonlinear Schr{ö}dinger equations
Pascal Bégout, Jesús Ildefonso Díaz
This paper deals with the study of "\textit{sharp localized}" solutions of a nonlinear type Schr{ö}dinger equation in the whole space with a zero order term, in mo…
Maximum Decay Rate for the Nonlinear Schrödinger Equation
Pascal Bégout
In this paper, we consider global solutions for the following nonlinear Schrödinger equation in with and …
Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations
Pascal Bégout
We give explicit time lower bounds in the Lebesgue spaces for all nontrivial solutions of nonlinear Schrödinger equations bounded in the energy space. The result applies for these…
Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation
Pascal Bégout
In this paper, we consider the nonlinear Schrödinger equation with the super critical power of nonlinearity in the attractive case. We give a sufficient condition and a necessary c…