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5 papers · 2 filters
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…
Symmetry of large solutions of nonlinear elliptic equations in a ball
Alessio Porretta, Laurent Veron
Let be a locally Lipschitz continuous real valued function which satisfies the Keller-Osserman condition and is convex at infinity, then any large solution of in a…
Long-time extinction of solutions of some semilinear parabolic equations
Yves Belaud, Andrey Shishkov
We study the long time behaviour of solutions of semi-linear parabolic equation of the following type where $a_0(x) \geq d_0 \exp(\frac{ω(|x|)}{|x|^2}…
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…
Homogenization of monotone systems of Hamilton-Jacobi equations
Fabio Camilli, Olivier Ley, Paola Loreti
In this paper we study homogenization for a class of monotone systems of first-order time-dependent periodic Hamilton-Jacobi equations. We characterize the Hamiltonians of the limi…