Kernel estimates for a class of Schrödinger semigroups

被引:0
作者
G. Metafune
C. Spina
机构
[1] Università di Lecce,Dipartimento di Matematica “Ennio De Giorgi”
来源
Journal of Evolution Equations | 2007年 / 7卷
关键词
34L20; 35K65; 35B65; 60J35; Heat kernels; Schrödinger operator; eigenvalues;
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学科分类号
摘要
We prove short time estimates for the heat kernels of certain Schrödinger operators with unbounded potentials in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $${\mathbb{R}}^N$$ \end{document}. The asymptotic distribution of the eigenvalues is also considered.
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页码:719 / 742
页数:23
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