The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows

DOI10.1016/j.na.2021.112585zbMath1476.35091OpenAlexW3204556567MaRDI QIDQ2238803

Yanyan Li

Publication date: 2 November 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112585

zbMATH Keywords

viscosity solutionsdislocation dynamics\(\gamma\)-convergencefractional perimeterslevel set formulationfractional mean curvature flowlocal and nonlocal geometric evolutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Methods involving semicontinuity and convergence; relaxation (49J45) PDEs in connection with mechanics of deformable solids (35Q74) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11) Quasilinear parabolic equations with mean curvature operator (35K93)

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The variational approach to \(s\)-fractional heat flows and the limit cases \(s \rightarrow 0^+\) and \(s \rightarrow 1^-\) ⋮ Two Slope Functions Minimizing Fractional Seminorms and Applications to Misfit Dislocations

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