Wellposedness and Scattering for Some Bi-inhomogeneous Schrödinger–Choquard Equation with Linear Damping
- Resource Type
- Original Paper
- Authors
- Chergui, L.
- Source
- Differential Equations and Dynamical Systems: International Journal for Theory, Real World Modelling and Simulations. :1-22
- Subject
- Damped Choquard equation
Global existence
Scattering
Invariant sets
35Q55
- Language
- English
- ISSN
- 0971-3514
0974-6870
Global existence and scattering are proved for some damped bi-inhomogeneous Schrödinger equation of Choquard type whenever the damping coefficient is large enough. For arbitrary damping, global existence of the solutions is claimed if the initial data belongs to some stable set.