Geodesic
Boundary layer for Chaffee-Infante type equation
Archivum mathematicum, Tome 34 (1998) no. 1, pp. 217-226
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This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.
This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.
Classification : 35B10, 35B25, 35B40, 35C20, 35K57, 76D10
Keywords: Boundary layers; correctors; nonlinear reaction diffusion equations; chaffee-infante equation 
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Temam, Roger; Wang, Xiaoming. Boundary layer for Chaffee-Infante type equation. Archivum mathematicum, Tome 34 (1998) no. 1, pp. 217-226. http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a20/

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