Displaying similar documents to “Boundary value problem with an inner point for the singularly perturbed semilinear differential equations”

Boundary layer for Chaffee-Infante type equation

Roger Temam, Xiaoming Wang (1998)

Archivum Mathematicum

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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.