ON SPECIAL REGULARITY PROPERTIES OF SOLUTIONS OF THE ZAKHAROV-KUZNETSOV EQUATION

被引：23
|
作者：
Linares, Felipe [1 ]
Ponce, Gustavo [2 ]
机构：
[1] IMPA, Estrada Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil
[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 04期
关键词：
Nonlinear dispersive equations; propagation of regularity; WELL-POSEDNESS; CAUCHY-PROBLEM; STABILITY; POISSON; EULER;
D O I：
10.3934/cpaa.2018074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study special regularity properties of solutions to the initial value problem associated to the Zakharov-Kuznetsov equation in three dimensions. We show that the initial regularity of the data in a family of half-spaces propagates with infinite speed. By dealing with the finite envelope of a class of these half-spaces we extend the result to the complement of a family of cones in R-3.
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页码：1561 / 1572
页数：12
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