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Initial and nonlinear oblique boundary value problems for fully nonlinear parabolic equations. (English) Zbl 0699.35152
The author treats the initial and nonlinear oblique derivative boundary value problem for fully nonlinear uniformly parabolic partial differential equations of second order. The parabolic operators satisfy natural structure conditions which have been introduced by Krylov. The nonlinear boundary operators satisfy certain natural structure conditions, too. The existence and uniqueness of classical solutions are proved when the initial boundary values and the coefficients of the equation are suitable smooth.
Reviewer: H.Lange

MSC:
35K60Nonlinear initial value problems for linear parabolic equations