Scholarlink

<p>In this paper we introduce a new technique for analyzing the heat kernel associated to the Grusin Laplacian. We prove pointwise estimates for arbitrary derivatives of the Grusin heat kernel and the resolvent in terms of the control distance associated with the Grusin operator. Our technique is based on the global <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_2236_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^1\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>1</mn> </msup> </math></EquationSource> </InlineEquation>-Gevrey method.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Geometry and Analysis of the Grusin Operator

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月22日

查看全文
  • Gustavo Hoepfner,
  • Andrew Raich

摘要

In this paper we introduce a new technique for analyzing the heat kernel associated to the Grusin Laplacian. We prove pointwise estimates for arbitrary derivatives of the Grusin heat kernel and the resolvent in terms of the control distance associated with the Grusin operator. Our technique is based on the global \(L^1\) L 1 -Gevrey method.