Asymptotic behavior of solutions to a dissipative nonlinear Schr\"odinger equation with time dependent harmonic potentials
Abstract
We consider the Cauchy problem of a dissipative nonlinear Schr\"odinger equation with a time dependent harmonic potential. We find a critical situation that the L2-norm of dissipative solutions decays or not and which is decided by a nonlinear power and time decay order of harmonic potential.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.