Estimates of the fundamental solution for magnetic Schrodinger operatorsand their applications

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概要

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• We study the magnetic Schrodinger operator $H$ on $\textbf{\textit{R}}^n$, $n\geq3$. We assume that the electrical potential $V$ and the magnetic potential {\bf a} belong to a certain reverse Holder class, including the case that $V$ is a non-negative polynomial and the components of \bf{a} are polynomials. We show some estimates for operators of Schrodinger type by using estimates of the fundamental solution for $H$. In particular, we show that the operator $\nabla^2(-\Delta+V)^{-1}$ is a Calderon-Zygmund operator.

• 東北大学の論文

著者

• Kurata Kazuhiro

  Department Of Mathematics Tokyo Metropolitan University

• Kurata Kazuhiro

  Department Ofmathematics Tokyo Metropolitan University

• Sugano Satoko

  Department of Mathematics,GakushuinUniversity

• Sugano Satoko

  Department Of Mathematics Gakushuinuniversity

関連論文

• Estimates of the fundamental solution for magnetic Schrodinger operatorsand their applications
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