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math.AP2011
Hamiltonian ODE's on a Space of Deficient Measures
L. Chayes, W. Gangbo, H. K. Lei
We continue the study (initiated in [1]) of Borel measures whose time evolution is provided by an interacting Hamiltonian structure. Here, the principal focus is the development an…
math.AP2010
Degenerate diffusion with a drift potential: a viscosity solutions approach, joint work with I. C. Kim, truncated version
H. K. Lei
This is a truncated version of the paper "Degenerate diffusion with a drift potential: a viscosity solutions approach", co-authored with I. C. Kim. The purpose of this version is t…
math.AP2009
Degenerate diffusion with a drift potential: a viscosity solutions approach
I. C. Kim, H. K. Lei
We introduce a notion of viscosity solutions for a nonlinear degenerate diffusion equation with a drift potential. We show that our notion of solutions coincide with the weak solut…