We prove that boundary value problems for fully nonlinear second-order parabolic equations admit Lp-viscosity solutions, which are in C1+α for an α ∈ (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.
- Fully nonlinear equations
- Hölder regularity of derivatives
- Viscosity solutions