370 citations · 951 across the 49 of their papers we have counts for
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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…
Unbounded Viscosity Solutions of Hybrid Control Systems
Guy Barles, Sheetal Dharmatti, Mythily Ramaswamy
We study a hybrid control system in which both discrete and continuous controls are involved. The discrete controls act on the system at a given set interface. The state of the sys…