Strichartz estimates for Schrödinger equations with slowly decaying potentials

Strichartz estimates for Schrödinger equations with slowly decaying potentials

For Schrödinger equations with a class of slowly decaying repulsive potentials, we show that the solution satisfies global-in-time Strichartz estimates for any admissible pairs. Our admissible class of potentials includes the positive homogeneous potential Z|x|−μ with Z>0 and 0

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Veröffentlicht in:Journal of functional analysis 2020-12, Vol.279 (12), p.108789, Article 108789
1. Verfasser: Mizutani, Haruya
Format: Artikel
Sprache:eng
Schlagworte:
Schrödinger equation
Slowly decaying potentials
Strichartz estimates
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Zusammenfassung:For Schrödinger equations with a class of slowly decaying repulsive potentials, we show that the solution satisfies global-in-time Strichartz estimates for any admissible pairs. Our admissible class of potentials includes the positive homogeneous potential Z|x|−μ with Z>0 and 0
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2020.108789