Endpoint Strichartz Estimates for Charge Transfer Hamiltonians

Abstract

We prove the optimal endpoint Strichartz estimates for Schrödinger equation with charge transfer potentials and a general source term in ${\mathbb{R}}^n$ for $n\ge 3$. 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.

We add some details in introduction in new version

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Cited by in corpus (2)

• Strichartz Estimates for Wave equations with Charge Transfer Hamiltonian
• Soliton-potential interactions for nonlinear Schrödinger equation in ${\mathbb{R}}^3$