The Vanishing of the Fundamental Gap of Convex Domains in Hndocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {H}^n$$end{document}

Bourni Theodora; Clutterbuck Julie; Nguyen Xuan HienStancu AlinaWei GuofangWheeler Valentina-Mira

首页> 外文期刊>Annales Henri Poincare >The Vanishing of the Fundamental Gap of Convex Domains in Hndocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {H}^n$$end{document}

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The Vanishing of the Fundamental Gap of Convex Domains in Hndocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {H}^n$$end{document}

机译：The Vanishing of the Fundamental Gap of Convex Domains in Hndocumentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {H}^n$$end{document}

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Abstract For the Laplace operator with Dirichlet boundary conditions on convex domains in Hndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb H^n$$end{document}, n≥2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$nge 2$$end{document}, we prove that the product of the fundamental gap with the square of the diameter can be arbitrarily small for domains of any diameter.

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《Annales Henri Poincare》 |2022年第2期|595-614|共20页
作者
Bourni Theodora; Clutterbuck Julie; Nguyen Xuan HienStancu AlinaWei GuofangWheeler Valentina-Mira;
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University of Tennessee;

Monash University;

Iowa State UniversityConcordia UniversityUC Santa BarbaraUniversity of Wollongong;

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正文语种英语
中图分类理论物理学;
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