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

研究成果: Article

5 引用 (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.

元の言語English
ページ(範囲)107-138
ページ数32
ジャーナルAsymptotic Analysis
47
発行部数1-2
出版物ステータスPublished - 2006
外部発表Yes

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Scale Invariant
Smoothing
Energy
Commutator Estimate
Estimate
Vega

ASJC Scopus subject areas

  • Mathematics(all)

これを引用

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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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