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VOL. 64 | 2015 Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials
Haruya Mizutani

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

This note is concerned with Strichartz estimates for solutions to Schrödinger equations with asymptotically flat metrics and subquadratically growing potentials. We prove the estimates outside a large compact set centered at origin. Under the non-trapping condition, we also prove global-in-space estimates.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35214
MathSciNet: MR3381312

Digital Object Identifier: 10.2969/aspm/06410453

Subjects:
Primary: 35B45, 35Q41, 81Q20

Rights: Copyright © 2015 Mathematical Society of Japan

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