Second-order asymptotics of fractional Gagliardo seminorms as [Formula: see text] and convergence of the associated gradient flows
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We study the second-order asymptotic expansion of the s-fractional Gagliardo seminorm as s → 1 - in terms of a higher-order nonlocal functional. We prove a Mosco-convergence result for the energy functionals and characterize the domain of the limit, wh... ...
