  In this article we obtain Holder estimates for solutions to second-order
Hamilton-Jacobi equations with super-quadratic growth in the gradient and
unbounded source term. The estimates are uniform with respect to the smallness
of the diffusion and the smoothness of the Hamiltonian. Our work is in the
spirit of a result by P. Cardaliaguet and L. Silvestre [5]. We utilize De
Giorgi's method, which was introduced to this class of equations in [6].

Analysis of PDEs