44 citations · 290 across the 45 of their papers we have counts for
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math.AP2011★ 1 cited
Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side
Pierre Cardaliaguet, Luis Silvestre
We show that solutions of time-dependent degenerate parabolic equations with super-quadratic growth in the gradient variable and possibly unbounded right-hand side are locally ${\m…
math.OC2011★ 3 cited
Homogenization and enhancement of the equation in random environments
Pierre Cardaliaguet, Panagiotis E. Souganidis
We study the homogenization of a -equation which is advected by a divergence free stationary vector field in a general ergodic random environment. We prove that the averaged equ…
math.OC2011
Regularity Results for Eikonal-Type Equations with Nonsmooth Coefficients
Piermarco Cannarsa, Pierre Cardaliaguet
Solutions of the Hamilton-Jacobi equation , with Hölder continuous and convex and positively homogeneous of degree 1, are shown to be local…