Large-time behavior of unbounded solutions of the viscous Hamilton-Jacobi equation: quadratic and subquadratic cases

Alexander Quaas, Andrei Rodríguez-Paredes

We determine the large-time behavior of unbounded solutions for the so-called viscous Hamilton Jacobi equation, $u_t-\Delta u+|Du{|}^m=f(x)$, in the quadratic and subquadratic cases…