Scholarlink

<p>We consider heat semigroups of the form <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\text{exp}(t(\Delta-\lambda\mathbf{1}_{\Omega_{0}}))\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mtext>exp</mtext> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">(</mo> <mi mathvariant="normal">Δ</mi> <mo>−</mo> <mi>λ</mi> <msub> <mrow> <mn mathvariant="bold">1</mn> </mrow> <mrow> <msub> <mi mathvariant="normal">Ω</mi> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> </math></EquationSource> </InlineEquation> on bounded domains. These singularly perturbed equations arise in certain models of diffusion limited chemical reactions. Using variants of Moser’s iteration scheme, we show sub-exponential decay in the strong coupling limit, i.e., as λ ↗ ∞, in compact subdomains of the “obstacle”, Ω<sub>0</sub>.</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

A note on Moser iteration and the large coupling limit

  • 期刊论文

  • 发表日期：

    2026年2月24日

查看全文
  • Ikemefuna Agbanusi

摘要

We consider heat semigroups of the form \(\text{exp}(t(\Delta-\lambda\mathbf{1}_{\Omega_{0}}))\) exp ( t ( Δ − λ 1 Ω 0 ) ) on bounded domains. These singularly perturbed equations arise in certain models of diffusion limited chemical reactions. Using variants of Moser’s iteration scheme, we show sub-exponential decay in the strong coupling limit, i.e., as λ ↗ ∞, in compact subdomains of the “obstacle”, Ω0.