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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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Table of 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", $Ω_0$.