On C 1+α regularity of solutions of Isaacs parabolic equations with VMO coefficients
Tóm tắt
We prove that boundary value problems for fully nonlinear second-order parabolic equations admit L
p
-viscosity solutions, which are in C
1+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.