A note on Moser iteration and the large coupling limit
Abstract
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", $Ω_0$.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Spectral Theory in Mathematical Physics
Differential Equations and Numerical Methods
Publication details
- Journal / source
- Czechoslovak Mathematical Journal
- Volume
- 76
- Issue
- 1
- Pages
- 39–46
- Publication date
- 24 February 2026
- Language
- EN