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A maximum principle for elliptic and parabolic equations with oblique derivative boundary problems. (English) Zbl 0764.35020

Summary: This paper proves a maximum principle for viscosity solutions of fully nonlinear, second order, uniformly elliptic and parabolic equations with oblique boundary value conditions.

MSC:

35B50 Maximum principles in context of PDEs
35K55 Nonlinear parabolic equations
35B45 A priori estimates in context of PDEs
49L25 Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games
35K20 Initial-boundary value problems for second-order parabolic equations
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