PDE seminar: On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force

Date
2013-5-20 16:30 - 2013-5-20 17:30
Place
Faculty of Science Building #3, Room 309
Speaker/Organizer
Atsushi Nakayasu (The University of Tokyo)
 
We study the singular diffusion equation in one
space dimension with a general external force term.
This work is motivated by a crystalline mean curvature
motion of graphs under spatially inhomogeneous
conditions.
In this talk we show an existence result of a solution
in a viscosity sense to the singular diffusion equation
with a continuous periodic initial condition.