23 citations · 125 across the 24 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
math.AP2016★ 4 cited
Global solutions to the Porous medium equations on singular manifolds
Yuanzhen Shao
The main objective of the present work is to discuss the global existence and stability of solutions to the porous medium equations on Riemannian manifolds with singularities. Seve…
math.AP2016★ 6 cited
Wellposedness of a nonlocal nonlinear diffusion equation of image processing
Patrick Guidotti, Yuanzhen Shao
Existence and uniqueness are established for a degenerate regularization of the well-known Perona-Malik equation proposed by the first author for non-smooth initial data. The resul…