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arXiv · 1507.03870

Endpoint Strichartz Estimates for Charge Transfer Hamiltonians

Qingquan Deng·Avy Soffer·Xiaohua Yao
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Abstract

We prove the optimal endpoint Strichartz estimates for Schr\"{o}dinger equation with charge transfer potentials and a general source term in $\mathbb{R}^n$ for $n\geq3$. The proof is based on using the projection on the scattering states defined implicitly in Rodnianski, Schlag and Soffer \cite{RSS1}, and asymptotic completeness for such systems. The method works as well in the matrix non-selfadjoint case.

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Qingquan Deng, Avy Soffer, Xiaohua Yao. 2015-07-14. Endpoint Strichartz Estimates for Charge Transfer Hamiltonians. https://arxiv.org/abs/1507.03870

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