2 papers
math.AP2018
Gradient estimates for oblique derivative problems via the maximum principle
Gary M. Lieberman
We prove gradient estimates for solutions of the oblique derivative problem for a large class of elliptic and parabolic quasilinear PDEs. In particular, we expand on previous work…
math.AP2014
Hölder continuity of a bounded weak solution of generalized parabolic Laplacian equations
Sukjung Hwang, Gary M. Lieberman
Here we generalize quasilinear parabolic Laplacian type equations to obtain the prototype equation as \[ u_t - \text{div} (g(|Du|)/ |Du| \cdot Du) = 0, \] where a nonnegative,…