45 citations · 148 across the 22 of their papers we have counts for
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Logarithmic NLS equation on star graphs: existence and stability of standing waves
Alex H. Ardila
In this paper we consider the logarithmic Schrödinger equation on a star graph. By using a compactness method, we construct a unique global solution of the associated Cauchy proble…
Stability of ground states for logarithmic Schrödinger equation with a -interaction
Alex Hernandez Ardila
In this paper we study the one-dimensional logarithmic Schrödinger equation perturbed by an attractive -interaction \[ i\partial_{t}u+\partial^{2}_{x}u+ γδ^{\prime}(x)u…
Orbital stability of Gausson solutions to logarithmic Schrödinger equations
Alex Hernandez Ardila
In this paper we present a proof of the orbital stability of ground state for logarithmic Schrödinger equation in any dimension and under nonradial perturbations.
Stability of standing waves for logarithmic Schrödinger equation with attractive delta potential
Jaime Angulo Pava, Alex Hernandez Ardila
We consider the one-dimensional logarithmic Schrödinger equation with a delta potential. Global well-posedness is verified for the Cauchy problem in H1(R) and in an appropriate Orl…