The effect of domain squeezing upon the dynamics of reaction-diffusion equations
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Publication:5943390
DOI10.1006/jdeq.2000.3917zbMath1003.35062OpenAlexW2063338145MaRDI QIDQ5943390
Martino Prizzi, Krzysztof P. Rybakowski
Publication date: 16 January 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.3917
Abstract parabolic equations (35K90) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric theory of semilinear parabolic equations
- Eigenvalue problems for nonsmoothly perturbed domains
- Spectral properties of Schrödinger operators on domains with varying orders of thinness
- Inertial manifolds on squeezed domains
- Neumann eigenvalue problems on exterior perturbations of the domain
- Reaction-diffusion equation on thin domains
- A Damped Hyperbolic Equation on Thin Domains
- A reaction-diffusion equation on a thin L-shaped domain
- Conley index continuation and thin domain problems
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