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Keywords:
Boundary layers; correctors; nonlinear reaction diffusion equations; chaffee-infante equation
Boundary layers; correctors; nonlinear reaction diffusion equations; chaffee-infante equation
Summary:
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.
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