Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local well-posedness for the Landau-Lifshitz equation with helicity term   We consider the initial value problem for the Landau-Lifshitz equation with
helicity term (chiral interaction term), which arises from the
Dzyaloshinskii-Moriya interaction. We prove that it is well-posed
locally-in-time in the space $\bar{k} +H^s$ for $s\ge 3$ with $s\in \mathbb{Z}$
and $\bar{k}={}^t(0,0,1)$. We also show that if we further assume that the
solution is homotopic to constant maps, then local well-posedness holds in the
space $\bar{k} + H^s$ for $s>2$ with $s\in \mathbb{R}$. Our proof is base on
the analysis via the modified Schr\"odinger map equation.

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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
19
The categories of this paper are: eess