Strichartz Estimates for Charge Transfer Models

2015/07/28 by Chen, Gong
#35Q35 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1507.07644

Abstract

In this note, we prove Strichartz estimates for scattering states of scalar charge transfer models in ℝ³. Based on the idea of the proof of Strichartz estimates which follows \citeCM,RSS, we also show the energy of the whole evolution is bounded independently of time without using the phase space method, for example, in \citeGraf. One can easily generalize our argument to ℝⁿ for n≥3. Finally, in the last section, we discuss the extension of these results to matrix charge transfer models in ℝ³.

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