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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2108.02256 |
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| _version_ | 1866910983988969472 |
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| 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 |