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math.AP2012
Uniform Holder bounds for strongly competing systems involving the square root of the laplacian
Susanna Terracini, Gianmaria Verzini, Alessandro Zilio
For a class of competition-diffusion nonlinear systems involving the square root of the Laplacian, including the fractional Gross-Pitaevskii system, we prove that uniform boundedne…
math.AP2012
Fractional diffusion with Neumann boundary conditions: the logistic equation
Eugenio Montefusco, Benedetta Pellacci, Gianmaria Verzini
Motivated by experimental studies on the anomalous diffusion of biological populations, we introduce a nonlocal differential operator which can be interpreted as the spectral squar…