Regularity of viscosity solutions to a degenerate nonlinear Cauchy problem

This paper is concerned with the regularity of certain weak solutions to the Cauchy problem in RNRN for a degenerate nonlinear parabolic equation. We get the Hölder regularity of the weak solution when the parameter γ≥N−1 and improve the parameter’s region from γ≥2N−1 to γ≥N−1 since N−1<2N−1.