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arXiv Open Access 2021

Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary

Ali Hyder Antonio Segatti Yannick Sire Changyou Wang
Lihat Sumber

Abstrak

We introduce a heat flow associated to half-harmonic maps, which have been introduced by Da Lio and Rivière. Those maps exhibit integrability by compensation in one space dimension and are related to harmonic maps with free boundary. We consider a new flow associated to these harmonic maps with free boundary which is actually motivated by a rather unusual heat flow for half-harmonic maps. We construct then weak solutions and prove their partial regularity in space and time via a Ginzburg-Landau approximation. The present paper complements the study initiated by Struwe and Chen-Lin.

Topik & Kata Kunci

math.AP math.DG

Penulis (4)

A

Ali Hyder

A

Antonio Segatti

Y

Yannick Sire

C

Changyou Wang

Format Sitasi

APA MLA BibTeX
Hyder, A., Segatti, A., Sire, Y., Wang, C. (2021). Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary. https://arxiv.org/abs/2111.14171

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2021
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓