Endpoint Strichartz Estimates for Charge Transfer Hamiltonians

Qingquan Deng; Avy Soffer; Xiaohua Yao

Endpoint Strichartz Estimates for Charge Transfer Hamiltonians

Analysis of PDEs 2017-02-15 v3 Mathematical Physics math.MP

Authors: Qingquan Deng , Avy Soffer , Xiaohua Yao

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.

Keywords

schrödinger equation strichartz estimates scattering theory

Cite

@article{arxiv.1507.03870,
  title  = {Endpoint Strichartz Estimates for Charge Transfer Hamiltonians},
  author = {Qingquan Deng and Avy Soffer and Xiaohua Yao},
  journal= {arXiv preprint arXiv:1507.03870},
  year   = {2017}
}

Comments

We add some details in introduction in new version

Related papers

View all related →