Remarks on local theory for Schrödinger maps near harmonic maps
نویسندگان
چکیده
منابع مشابه
Schrödinger flow near harmonic maps
For the Schrödinger flow from R2 × R+ to the 2-sphere S2, it is not known if finite energy solutions can blow up in finite time. We study equivariant solutions whose energy is near the energy of the family of equivariant harmonic maps. We prove that such solutions remain close to the harmonic maps until the blowup time (if any), and that they blow up if and only if the length scale of the neare...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2020
ISSN: 0386-5991
DOI: 10.2996/kmj/1594313555