Strichartz estimates for charge transfer models

Gong Chen

doi:10.3934/dcds.2017050

Strichartz estimates for charge transfer models

Gong Chen

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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	https://doi.org/10.3934/dcds.2017050
State	Published - Mar 2017

Keywords

Charge transfer model
Energy boundedness
Strichartz estimates

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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AB - 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.

KW - Charge transfer model

KW - Energy boundedness

KW - Strichartz estimates

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Strichartz estimates for charge transfer models

Abstract

Keywords

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