Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839617 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 34 Pages |
Abstract
We consider an anisotropic Lévy operator IsIs of any order s∈(0,1)s∈(0,1) and we consider the homogenization properties of an evolution equation.The scaling properties and the effective Hamiltonian that we obtain are different according to the cases s<1/2s<1/2 and s>1/2s>1/2.In the isotropic one dimensional case, we also prove a statement related to the so-called Orowan’s law, that is an appropriate scaling of the effective Hamiltonian presents a linear behavior.
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Authors
Stefania Patrizi, Enrico Valdinoci,