Article ID Journal Published Year Pages File Type
10678456 Applied Mathematics Letters 2005 8 Pages PDF
Abstract
We study inner obstacle problems for a class of strongly degenerate parabolic-hyperbolic quasilinear operators associated with Dirichlet data in an open bounded subset of Rp, p≥1. We first give the definition of a weak entropy solution that warrants uniqueness; the boundary conditions are expressed by using the framework of divergence measure fields. The existence of such a solution is obtained through the vanishing viscosity method.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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