Small perturbation solutions for parabolic equations
Small perturbation solutions for parabolic equations
Let ϕ be a smooth solution of the parabolic equationAssume that F is smooth and uniformly elliptic only in a neighborhood of the points (D 2 ϕ, Dϕ, ϕ, x, t), we show that a viscosity solution u to the above equation is smooth in the interior if u -ϕ …