Interface evolution with Neumann boundary condition
Interface evolution with Neumann boundary condition
Summary: We prove a comparison theorem for viscosity solutions of singular degenerate parabolic equations with Neumann boundary condition in a convex bounded domain. We also construct viscosity solutions for the Neumann problem in not necessarily convex domain. We apply our theorem to construct a global generalized evolution for interface equation with Neumann boundary condition.
- Hokkaido Bunkyo University Japan
- Hokkaido University Japan
mean curvature flow equations, Variational methods applied to PDEs, viscosity solutions, Neumann boundary condition, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Degenerate parabolic equations, convex bounded domain, 410, interface equation
mean curvature flow equations, Variational methods applied to PDEs, viscosity solutions, Neumann boundary condition, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Degenerate parabolic equations, convex bounded domain, 410, interface equation
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