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A Nonlocal Mean Curvature Flow

  • José M. Mazón
  • Julio Daniel Rossi
  • J. Julián Toledo
Chapter
Part of the Frontiers in Mathematics book series (FM)

Abstract

Consider a family { Γt}t≥0 of hypersurfaces embedded in \(\mathbb {R}^N\) parametrized by time t. Assume that each Γt = ∂Et, the boundary of a bounded open set Et in \(\mathbb {R}^N\).

References

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    A. Figalli, N. Fusco, F. Maggi, V. Millot, M. Morini, Isoperimetric and stability properties of balls with respect to nonlocal energies. Commun. Math. Phys. 336, 441–507 (2015)CrossRefGoogle Scholar
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    M. Saez, E. Valdinoci, On the evolution by fractional mean curvature. arXiv: 1511.06944v2Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • José M. Mazón
    • 1
  • Julio Daniel Rossi
    • 2
  • J. Julián Toledo
    • 3
  1. 1.Departamento de Análisis MatemáticoUniversitat de ValènciaValenciaSpain
  2. 2.Departamento de MatemáticasUniversidad de Buenos AiresBuenos AiresArgentina
  3. 3.Departamento de Análisis MatemáticoUniversitat de ValènciaValènciaSpain

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