Publication: On the asymptotic behavior of elliptic, anisotropic singular perturbations problems
On the asymptotic behavior of elliptic, anisotropic singular perturbations problems
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Chipot, M., & Guesmia, S. (2009). On the asymptotic behavior of elliptic, anisotropic singular perturbations problems. Communications on Pure and Applied Analysis, 8, 179–193. https://doi.org/10.3934/cpaa.2009.8.179
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In this paper, we consider anitropic singular perturbations of some elliptic boundary value problems. We study the asymptotic behavior as [\varepsilon \rightarrow 0] for the solution. Strong convergence in some Sobolev spaces is proved and the rate of convergence in cylindrical domains is given.
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- Chipot, M
- Guesmia, S
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Chipot, M., & Guesmia, S. (2009). On the asymptotic behavior of elliptic, anisotropic singular perturbations problems. Communications on Pure and Applied Analysis, 8, 179–193. https://doi.org/10.3934/cpaa.2009.8.179
