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math.AP2019★ 14 cited
On the Homogenization of the Hamilton-Jacobi Equation
Alfonso Sorrentino
In this article we describe how the celebrated result by Lions, Papanicolau and Varadhan on the Homogenization of Hamilton-Jacobi equation can be extended beyond the Euclidean sett…
math.AP2016★ 7 cited
Global Results for Eikonal Hamilton-Jacobi Equations on Networks
Antonio Siconolfi, Alfonso Sorrentino
We study a one-parameter family of Eikonal Hamilton-Jacobi equations on an embedded network, and prove that there exists a unique critical value for which the corresponding equatio…