《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (6): 56-63.

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### 两分量Novikov系统初值问题解的局部Gevrey正则性与解析性

1. 西北大学数学学院, 陕西 西安 710127
• 发布日期:2020-06-01
• 作者简介:王海权(1991— ),男,博士研究生,研究方向为偏微分方程. E-mail:hqwangmath@163.com
• 基金资助:
陕西省自然科学基金资助项目(2019JM007)

### Local Gevrey regularity and analyticity of the solutions to the initial value problem associated with the two-component Novikov system

WANG Hai-quan, CHONG Ge-zi

1. School of Mathematics, Northwest University, Xian 710127, Shaanxi, China
• Published:2020-06-01

Abstract: Considered herein is the initial value problem for the two-component Novikov system. At first, the Gevrey regularity and analyticity of the solutions to this problem in Sobolev-Gevrey spaces G1r,s(R)×G1r,s-1(R)with s>3/2, r≥1 are investigated by making use of the generalized Ovsyannikov theorem. Next, the continuity of the solution map z0→z(t) is discussed. The results can be directly applied to Novikov equation.

• O175.29
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