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arXiv · 1605.05372

Stability of standing waves for logarithmic Schrödinger equation with attractive delta potential

Jaime Angulo Pava·Alex Hernandez Ardila
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Abstract

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 Orlicz space. In the attractive case, we prove orbital stability of the ground states via variational approach.

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Jaime Angulo Pava, Alex Hernandez Ardila. 2016-08-24. Stability of standing waves for logarithmic Schrödinger equation with attractive delta potential. https://arxiv.org/abs/1605.05372

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