On the stability of degenerate Schrödinger equation under boundary fractional damping
Abstract
In this paper we study the well-posedness and stability of degenerate Schrödinger equation with a fractional boundary damping. First, we establish the well-posedness of the degenerate problem $ψ_t(x,t)-\imath(τ(x) ψ_x(x,t))_x=0, \hbox{ with } x \in (0,1)$, controlled by Dirichlet-Neumann conditions. Then, exponential and polynomial decay rate of the solution are established using multiplier method.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Stability and Controllability of Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 3 January 2026
- Document type
- Preprint