Limit of solutions for semilinear Hamilton-Jacobi equations with degenerate viscosity

Jianlu Zhang

In the paper we prove the convergence of viscosity solutions $u_{\lambda }$ as $\lambda \to 0_{+}$ for the parametrized degenerate viscous Hamilton-Jacobi equation \[ H(x,d_x u, λu)=α(x)Δu,\q…