Abstract
We prove that boundary value problems for fully nonlinear second-order parabolic equations admit Lp-viscosity solutions, which are in C1+α for an \({\alpha \in (0, 1)}\). The equations have a special structure that the “main” part containing only second-order derivatives is given by a positive homogeneous function of second-order derivatives and as a function of independent variables it is measurable in the time variable and, so to speak, VMO in spatial variables.
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