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What is Fine Regularity of Fractional Harmonic Maps and Applications about?
This paper presents regularity results for fractional harmonic maps into Euclidean spheres, focusing on energies related to fractional Sobolev spaces. The authors improve existing results and derive new potential-theoretic estimates, particularly for harmonic maps with free boundaries and the Plateau flow. They also explore higher differentiability results for the fractional harmonic map heat flow, emphasizing the differences between critical and supercritical cases in their findings.
- Author
- Warf Rame
- Language
- EN