Sharp energy estimates for nonlinear fractional diffusion equations

2012/07/26 by Cabre, Xavier, Cinti, Eleonora · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1207.6194

Abstract

We study the nonlinear fractional equation (-Δ)^s u = f(u) in ℝⁿ, for all fractions 0

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• Phase transitions in two-component Bose-Einstein condensates with Rabi frequency (I): The De Giorgi conjecture for the local problem in ℝ³

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