Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain
نویسنده
چکیده
We establish comparison and existence theorems of viscosity solutions of the initial-boundary value problem for some singular degenerate parabolic partial di/erential equations with nonlinear oblique derivative boundary conditions. The theorems cover the capillary problem for the mean curvature 1ow equation and apply to more general Neumann-type boundary problems for parabolic equations in the level set approach to motion of hypersurfaces with velocity depending on the normal direction and curvature. ? 2004 Elsevier Ltd. All rights reserved.
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