On the stability of degenerate Schr\"odinger equation under boundary fractional damping
Abstract
In this paper we study the well-posedness and stability of degenerate Schr\"odinger equation with a fractional boundary damping. First, we establish the well-posedness of the degenerate problem t(x,t)-(τ(x) x(x,t))x=0, with x ∈ (0,1), controlled by Dirichlet-Neumann conditions. Then, exponential and polynomial decay rate of the solution are established using multiplier method.
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.