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Showing 2011 · math.APShow all
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math.AP2011
On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian
Fernando Charro, Guido De Philippis, Agnese Di Castro +1
We prove bounds and estimates of the modulus of continuity of solutions to the Poisson problem for the normalized infinity and -Laplacian, namely \[ -Δ_p^N u=f\qquad\…
math.AP2011
Passing to the limit in maximal slope curves: from a regularized Perona-Malik equation to the total variation flow
Maria Colombo, Massimo Gobbino
We prove that solutions of a mildly regularized Perona-Malik equation converge, in a slow time scale, to solutions of the total variation flow. The convergence result is global-in-…