两分量Novikov方程的爆破准则和持续性  

Blow-up criterion and persistence properties for a two-component Novikov system

作　　者：陈涵[1] 严可欣 蒋先江[1] CHEN Han;YAN Kexin;JIANG Xianjiang(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2023年第3期36-42,共7页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：浙江省自然科学基金(LY22A010005).

摘　　要：研究了两分量Novikov系统柯西问题强解的两大性质,该类方程组可以看作是Novikov方程的推广.一方面,利用一维线性运输方程相关性质和Morse-Type估计讨论该问题解的精准爆破,得到新的爆破条件;另一方面,利用时频分析理论研究了方程组在Lp权重空间上的持续性结论.In this paper,we study two properties of strong solutions of Cauchy problem for integrable two-component Novikov system,which can be regarded as extension of Novikov equation.We present a precise blow-up scenario and some new blow-up results for strong solutions using one-dimensional transport equation and Morse-type estimates.Moreover,the persistence properties of the solutions to the system in weighted Lp spaces are defined by making use of the approach in time-frequency analysis.

关 键 词：两分量Novikov系统 柯西问题 爆破准则 持续性 

分 类 号：O175[理学—数学]