Abstract
In this note, we prove Strichartz estimates for scattering states of scalar charge transfer models in R3. Following the idea of Strichartz estimates based on [3, 10], we also show that the energy of the whole evolution is bounded independently of time without using the phase space method, as for example, in [5]. One can easily generalize our arguments to Rn for n ≥ 3. We also discuss the extension of these results to matrix charge transfer models in R3.
Original language | English |
---|---|
Pages (from-to) | 1201-1226 |
Number of pages | 26 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 37 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2017 |
Keywords
- Charge transfer model
- Energy boundedness
- Strichartz estimates
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics