15 citations · 35 across the 12 of their papers we have counts for
4 papers · 1 filter
Domain Variations for Moving Boundary Problems
Patrick Guidotti
In the past few decades maximal regularity theory has successfully been applied to moving boundary problems. The basic idea is to reduce the system with varying domains to one in a…
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…
A Class Of Elliptic Equations with Interior Degeneration
Patrick Guidotti
A class of linear degenerate elliptic equations inspired by nonlinear diffusions of image processing is considered. It is characterized by an interior degeneration of the diffusion…
Using an Encompassing Periodic Box to Perform Numerical Calculations on General Domains
Patrick Guidotti
This paper shows how numerical methods on a regular grid in a box can be used to generate numerical schemes for problems in general smooth domains contained in the box with no need…