2 citations · 2 across the 4 of their papers we have counts for
4 papers
Smoothness up to the free boundary for the -Laplacian evolution equation and the -Gauss curvature flow
Albert Chau, Ben Weinkove
The -Laplacian evolution equation and the -Gauss curvature flow with a flat side are degenerate parabolic equations with evolving free boundaries. We give proofs of smooth sh…
Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature
Albert Chau, Adam Martens
We prove long-time existence of the Ricci flow starting from complete manifolds with bounded curvature and scale-invariant integral curvature sufficiently pinched with respect to t…
Smooth solutions of degenerate linear parabolic equations and the porous medium equation
Albert Chau, Ben Weinkove
We prove existence of smooth solutions to linear degenerate parabolic equations on bounded domains assuming a structure condition of Fichera. We use this to give a proof of a smoot…
Monge Ampère functionals and the second boundary value problem
Albert Chau, Ben Weinkove
We consider a Monge-Ampère functional and its corresponding second boundary value problem, a nonlinear fourth order PDE with two Dirichlet boundary conditions. This problem was sol…