Abstract
We establish soliton-like asymptotics for finite energy solutions to classical particle coupled to a scalar wave field. Any solution that goes to infinity as t → ∞ converges to a sum of traveling wave and of outgoing free wave. The convergence holds in global energy norm. The proof uses a non-autonomous integral inequality method.
| Original language | English |
|---|---|
| Pages (from-to) | 387-396 |
| Number of pages | 10 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 10 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 2004 |
Keywords
- Classical particle
- Particle density
- Scalar wave field
- Scattering solutions
- Scattering states
- Smooth coupling
- Soliton-like asymptotics
- Solitons
- Weak interaction