Fractional Sobolev spaces on Riemannian manifolds

DOI10.1007/S00208-024-02894-WMaRDI QIDQ6634487

Michele Caselli, Enric Florit-Simon, Joaquim Serra

Publication date: 7 November 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldextension problemsingular kernelHilbert fractional norm

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) PDEs on manifolds (35R01)

Cites Work

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• Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces
• The second inner variation of energy and the Morse index of limit interfaces
• Sharp energy estimates for nonlinear fractional diffusion equations
• Nonlocal minimal surfaces
• An Extension Problem Related to the Fractional Laplacian
• Bounds for the fundamental solution of a parabolic equation

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Nonlocal minimal surfaces: recent developments, applications, and future directions

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