28 citations · 43 across the 2 of their papers we have counts for
3 papers
Viscosity solutions for a polymer crystal growth model
Pierre Cardaliaguet, Olivier Ley, Aurélien Monteillet
We prove existence of a solution for a polymer crystal growth model describing the movement of a front evolving with a nonlocal velocity. In this model the nonlocal veloci…
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations
Guy Barles, Pierre Cardaliaguet, Olivier Ley +1
In this article, we provide existence results for a general class of nonlocal and nonlinear second-order parabolic equations. The main motivation comes from front propagation theor…
Uniqueness Results for Nonlocal Hamilton-Jacobi Equations
Guy Barles, Pierre Cardaliaguet, Olivier Ley +1
We are interested in nonlocal Eikonal Equations describing the evolution of interfaces moving with a nonlocal, non monotone velocity. For these equations, only the existence of glo…