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.
Classification : 35B10, 35B25, 35B40, 35C20, 35K57, 76D10
Keywords: Boundary layers; correctors; nonlinear reaction diffusion equations; chaffee-infante equation 
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     author = {Temam, Roger and Wang, Xiaoming},
     title = {Boundary layer for {Chaffee-Infante} type equation},
     journal = {Archivum mathematicum},
     pages = {217--226},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {1998},
     mrnumber = {1629713},
     zbl = {0911.35012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_1_a20/}
}
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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/