A Note on Moser Iteration and the Large Coupling Limit

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Detalles Bibliográficos
Autor principal:	Agbanusi, Ikemefuna
Formato:	Preprint
Publicado:	2021
Materias:	Analysis of PDEs 35K10 (Primary), 35B20 (Secondary)
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

_version_	1866910983988969472
author	Agbanusi, Ikemefuna
author_facet	Agbanusi, Ikemefuna
contents	We consider heat semigroups of the form $\exp(t(Δ- λ\mathbf{1}_{Ω_0}))$ on bounded domains. These singularly perturbed equations arise in certain models of diffusion limited chemical reactions. Using variants of Moser iteration, we show sub-exponential decay in the ``large coupling limit", i.e. as $λ\nearrow\infty$, in compact subdomains of the ``obstacle", $Ω_0$.
format	Preprint
id	arxiv_https___arxiv_org_abs_2108_02256
institution	arXiv
publishDate	2021
record_format	arxiv
spellingShingle	A Note on Moser Iteration and the Large Coupling Limit Agbanusi, Ikemefuna Analysis of PDEs 35K10 (Primary), 35B20 (Secondary) We consider heat semigroups of the form $\exp(t(Δ- λ\mathbf{1}_{Ω_0}))$ on bounded domains. These singularly perturbed equations arise in certain models of diffusion limited chemical reactions. Using variants of Moser iteration, we show sub-exponential decay in the ``large coupling limit", i.e. as $λ\nearrow\infty$, in compact subdomains of the ``obstacle", $Ω_0$.
title	A Note on Moser Iteration and the Large Coupling Limit
topic	Analysis of PDEs 35K10 (Primary), 35B20 (Secondary)
url	https://arxiv.org/abs/2108.02256

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