Diffraction problems for quasilinear parabolic systems with boundary intersecting interfaces
Department of Mathematics, Chengdu Normal University, Chengdu, 611130, P.R. China
Boundary Value Problems 2013, 2013:99 doi:10.1186/1687-2770-2013-99Published: 22 April 2013
In this paper, we discuss the n-dimensional diffraction problem for weakly coupled quasilinear parabolic system on a bounded domain Ω, where the interfaces () are allowed to intersect with the outer boundary ∂Ω and the coefficients of the equations are allowed to be discontinuous on the interfaces. The aim is to show the existence of solutions by approximation method. The approximation problem is a diffraction problem with interfaces, which do not intersect with ∂Ω.
MSC: 35R05, 35K57, 35K65.