Asymptotic stability and completeness in 2D nonlinear Schrodinger equation

[摘要] In this thesis we obtained new results on the asymptotic stability of ground states of thenonlinear Schrödinger equation in space dimension two. Under our hypotheses, the resultactually shows asymptotic completeness in the regime of small initial data, i.e. any smallinitial data evolves into a superposition of a solitary wave (ground state) and a radiativepart that decays in time.

[效力级别] Partial Differential Equations

[关键词] Mathematics;Partial Differential Equations;Schrödinger Equation;Nonlinear;Completeness;Asymptotic Stability