Boundary Layer for Chaffee-Infante Type Equation

نویسندگان

  • Roger Temam
  • Xiaoming Wang
چکیده

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. AMS Subject Classification. 35B40, 35C20, 35Q30, 46N20, 76D10

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تاریخ انتشار 1998