A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I
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Publication:6160097
DOI10.1007/s13163-022-00429-yarXiv1910.13419MaRDI QIDQ6160097
Giovanni E. Comi, Giorgio Stefani
Publication date: 9 May 2023
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13419
gamma-convergencefractional derivativefractional gradientfractional perimeterfractional divergencefunction with bounded fractional variation
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Spaces of measures, convergence of measures (28A33) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)
Related Items (8)
Failure of the local chain rule for the fractional variation ⋮ On a class of nonlocal obstacle type problems related to the distributional Riesz fractional derivative ⋮ Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups ⋮ On a class of nonlocal problems with fractional gradient constraint ⋮ A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces ⋮ Nonlocal Bounded Variations with Applications ⋮ On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions ⋮ The Cheeger problem in abstract measure spaces
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