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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	107-138
Number of pages	32
Journal	Asymptotic Analysis
Volume	47
Issue number	1-2
Publication status	Published - 2006 Apr 10
Externally published	Yes

Keywords

Magnetic potential
Schrödinger equation
Smoothing estimates

ASJC Scopus subject areas

Mathematics(all)

Cite this

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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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journal = "Asymptotic Analysis",

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T1 - Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential

AU - Georgiev, Vladimir

AU - Tarulli, Mirko

PY - 2006/4/10

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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JF - Asymptotic Analysis

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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