Stability of a stationary solution for the Lugiato-Lefever equation
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概要
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We study the stability of a stationary solution for the Lugiato-Lefever equation with the periodic boundary condition in one space dimension, which is a damped and driven nonlinear Schrodinger equation introduced to model the optical cavity. In this paper, we prove the Strichartz estimates for the linear damped Schrodinger equation with potential and external forcing and investigate the stability of certain stationary solutions under the initial perturbation within the framework of $L^2$.
著者
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Ohnishi Isamu
Department Of Computer Sciences And Information Mathematics Faculty Of Electro-communications The Un
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Tsutsumi Yoshio
Department Of Animal Science Faculty Of Agriculture Hokkaido University
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Miyaji Tomoyuki
Research Institute For Mathematical Sciences Kyoto University
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Ohnishi Isamu
Department Of Mathematical And Life Sciences Hiroshima University
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Tsutsumi Yoshio
Department of Mathematics, Kyoto University
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