(1) Instituto de Matemática Pura e Aplicada, IMPA, Estrada Dona Castorina, 110, 22460-320 Rio de Janeiro, Brasil;(2) Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, 630090 Novosibirsk, Russia
Abstract:
We consider the problem of estimating the boundary layerthickness for vanishing viscosity solutions of boundary valueproblems for parabolic perturbations of a scalar conservation lawin a space strip in Rd. For the boundary layer thickness()we obtain that one can take()= r,for any r<1/2,arbitrarily close to 1/2.