Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential

Vladimir Georgiev; Mirko Tarulli

Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential

Vladimir Georgiev^*, Mirko Tarulli

^*この研究の対応する著者

研究成果: Article › 査読

5 被引用数 (Scopus)

抄録

We consider some scale invariant generalizations of the smoothing estimates for the free Schrödinger equation obtained by Kenig, Ponce and Vega (Ann. Inst. H. Poincaré Anal. Non Lineaire 10(3) (1993), 255-288; Invent. Math. 134(3) (1998), 489-545). Applying these estimates and using appropriate commutator estimates, we obtain similar scale invariant smoothing estimates for perturbed Schrödinger equation with small magnetic potential.

本文言語	English
ページ（範囲）	107-138
ページ数	32
ジャーナル	Asymptotic Analysis
巻	47
号	1-2
出版ステータス	Published - 2006 4月 10
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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引用スタイル

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abstract = "We consider some scale invariant generalizations of the smoothing estimates for the free Schr{\"o}dinger equation obtained by Kenig, Ponce and Vega (Ann. Inst. H. Poincar{\'e} Anal. Non Lineaire 10(3) (1993), 255-288; Invent. Math. 134(3) (1998), 489-545). Applying these estimates and using appropriate commutator estimates, we obtain similar scale invariant smoothing estimates for perturbed Schr{\"o}dinger equation with small magnetic potential.",

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author = "Vladimir Georgiev and Mirko Tarulli",

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AU - Tarulli, Mirko

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Y1 - 2006/4/10

N2 - We consider some scale invariant generalizations of the smoothing estimates for the free Schrödinger equation obtained by Kenig, Ponce and Vega (Ann. Inst. H. Poincaré Anal. Non Lineaire 10(3) (1993), 255-288; Invent. Math. 134(3) (1998), 489-545). Applying these estimates and using appropriate commutator estimates, we obtain similar scale invariant smoothing estimates for perturbed Schrödinger equation with small magnetic potential.

AB - We consider some scale invariant generalizations of the smoothing estimates for the free Schrödinger equation obtained by Kenig, Ponce and Vega (Ann. Inst. H. Poincaré Anal. Non Lineaire 10(3) (1993), 255-288; Invent. Math. 134(3) (1998), 489-545). Applying these estimates and using appropriate commutator estimates, we obtain similar scale invariant smoothing estimates for perturbed Schrödinger equation with small magnetic potential.

KW - Magnetic potential

KW - Schrödinger equation

KW - Smoothing estimates

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ER -

Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential

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