On the viscosity solutions to a class of nonlinear degenerate parabolic differential equations

Tilak Bhattacharya, Leonardo Marazzi

In this work, we show existence and uniqueness of positive solutions of $H(Du,D^{2}u)+\chi (t)|Du{|}^{\Gamma }-f(u)u_t=$ in $\Omega \times (0,T)$ and $u=h$ on its parabolic boundary. The operator $H$ s…