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

Vladimir Simeonov Gueorguiev, Mirko Tarulli

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
巻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

Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential. / Gueorguiev, Vladimir Simeonov; Tarulli, Mirko.

：: Asymptotic Analysis, 巻 47, 番号 1-2, 2006, p. 107-138.

研究成果: Article

Gueorguiev, VS & Tarulli, M 2006, 'Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential', Asymptotic Analysis, 巻. 47, 番号 1-2, pp. 107-138.
Gueorguiev VS, Tarulli M. Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential. Asymptotic Analysis. 2006;47(1-2):107-138.
Gueorguiev, Vladimir Simeonov ; Tarulli, Mirko. / Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential. ：: Asymptotic Analysis. 2006 ; 巻 47, 番号 1-2. pp. 107-138.
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