Article
| Title: | A note on Moser iteration and the large coupling limit (English) |
| Author: | Agbanusi, Ikemefuna |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 76 |
| Issue: | 1 |
| Year: | 2026 |
| Pages: | 39-46 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We consider heat semigroups of the form $\exp (t(\Delta - \lambda {\bf 1}_{\Omega _0}))$ 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 $\lambda \nearrow \infty $, in compact subdomains of the ``obstacle'', $\Omega _0$. (English) |
| Keyword: | Moser iteration |
| Keyword: | singular perturbation |
| Keyword: | large coupling limit |
| MSC: | 35B20 |
| MSC: | 35K10 |
| DOI: | 10.21136/CMJ.2026.0086-25 |
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| Date available: | 2026-03-13T09:27:54Z |
| Last updated: | 2026-03-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153559 |
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| Reference: | [1] Agbanusi, I.: Rate of convergence for large coupling limits in Sobolev spaces.Commun. Partial Differ. Equations 41 (2016), 1649-1659. Zbl 1368.35079, MR 3563474, 10.1080/03605302.2016.1227335 |
| Reference: | [2] Lee, J. M.: Introduction to Smooth Manifolds.Graduate Texts in Mathematics 218. Springer, New York (2003). Zbl 1030.53001, MR 1930091, 10.1007/978-0-387-21752-9 |
| Reference: | [3] Moser, J.: A Harnack inequality for parabolic differential equations.Commun. Pure Appl. Math. 17 (1964), 101-134. Zbl 0149.06902, MR 0159139, 10.1002/cpa.3160170106 |
| Reference: | [4] ksendal, B. Ø: Stochastic Differential Equations: An Introduction with Applications.Universitext. Springer, Berlin (1998). Zbl 0897.60056, MR 1619188, 10.1007/978-3-662-03620-4 |
| Reference: | [5] Saloff-Coste, L.: Parabolic Harnack inequality for divergence form second order differential operators.Potential Anal. 4 (1995), 429-467. Zbl 0840.31006, MR 1354894, 10.1007/BF01053457 |
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