Continuity Properties of the Solution Map for the Euler-Poisson Equation

被引：3

作者：

Holmes, J. ^{[1
]}

Tiglay, F. ^{[2
]}

机构：

[1] Ohio State Univ, Columbus, OH 43210 USA

[2] Ohio State Univ, Newark, OH 43055 USA

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2018年 / 20卷 / 02期

关键词：

NONUNIFORM DEPENDENCE; CAUCHY-PROBLEM; CH EQUATION;

D O I：

10.1007/s00021-017-0343-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the continuity properties of the data-to-solution map for the modified Euler-poisson equation. We show that for initial data in the Sobolev space H-s, s > 3/2, the data-to-solution map is not better than continuous. Furthermore, we consider the solution map in the H-gamma topology for s > gamma and find that the data-to-solution map is Holder continuous.

引用

页码：757 / 769

页数：13

共 15 条

[1]

Chen RM, 2013, MATH ANN, V357, P1245, DOI 10.1007/s00208-013-0939-9

[2]

Himonas AA, 2007, DISCRETE CONT DYN-A, V19, P515

[3] Holder Continuity for the Fokas-Olver-Rosenau-Qiao Equation [J].