On local-in-time Strichartz estimates for the Schrödinger equation with singular potentials

Seongyeon Kim, Ihyeok Seo, Jihyeon Seok

Research output: Contribution to journalArticlepeer-review

Abstract

There have been a lot of works concerning the Strichartz estimates for the perturbed Schrödinger equation by potential. These can be basically carried out adopting the well-known procedure for obtaining the Strichartz estimates from the weighted L2 resolvent estimates for the Laplacian. In this paper we handle the Strichartz estimates without relying on the resolvent estimates. This enables us to consider various potential classes such as the Morrey–Campanato classes.

Original languageEnglish
Pages (from-to)1765-1772
Number of pages8
JournalMathematische Nachrichten
Volume294
Issue number9
DOIs
StatePublished - Sep 2021

Keywords

  • Schrödinger equation
  • Strichartz estimates

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