Well-posedness and continuity properties of the Degasperis-Procesi equation in critical Besov space

被引：7

作者：

Li, Jinlu ^{[1
]}

Yu, Yanghai ^{[2
]}

Zhu, Weipeng ^{[3
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Peoples R China

[2] Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Peoples R China

[3] Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 200卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Degasperis-Procesi equation; Local well-posedness; Non-uniform dependence; BLOW-UP PHENOMENA; INTEGRABLE EQUATION; ILL-POSEDNESS; CAMASSA-HOLM; CAUCHY-PROBLEM; GLOBAL EXISTENCE; WAVE SOLUTIONS; SHOCK-WAVES; STABILITY;

D O I：

10.1007/s00605-022-01691-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain the local-in-time existence and uniqueness of solution to the Degasperis-Procesi equation in B-infinity,1(1)(R). Moreover, we prove that the data-to-solution of this equation is continuous but not uniformly continuous in B-infinity,1(1)(R).

引用

页码：301 / 313

页数：13

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