2 papers
math.AP2009
Long-time asymptotics for fully nonlinear homogeneous parabolic equations
Scott N. Armstrong, Maxim Trokhimtchouk
We study the long-time asymptotics of solutions of the uniformly parabolic equation \[ u_t + F(D^2u) = 0 \quad {in} \R^n\times \R_+, \] for a positively homogeneous operator , s…
math.AP2008
Everywhere regularity of certain types of parabolic systems
Maxim Trokhimtchouk
In this paper I discuss nonlinear parabolic systems that are generalizations of scalar diffusion equations. I show that when potential is a convex function that depends only on the…