Università degli Studi di Pavia

Dipartimento di Matematica ''F. Casorati''

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Recent results on fractional harmonic maps

Prof. Yannick Sire, Johns Hopkins University, Baltimora

Sala conferenze IMATI-CNR, Pavia - Tuesday, January 9, 2018 h.15:00


Abstract.  In a recent series of papers, Da Lio and Riviere introduced the concept of fractional harmonic map to understand the Wente inequality in one dimension. We will report on some results where we study on one hand the Ginzburg-Landau approximation of half-harmonic maps into spheres and on the other hand the regularity in one dimension of super-critical fractional harmonic maps. We will also introduce a ow of such maps into spheres and homogeneous spaces and study global weak solutions.

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Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
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