Well-posedness and regularity of the generalized Burgers equation in periodic Gevrey spaces

被引：3

作者：

Holmes, John ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 454卷 / 01期

关键词：

Burgers equation; Gevrey regularity; Initial value problem; Multilinear estimates; Sobolev spaces; Uniform radius of analyticity; SEMILINEAR PARABOLIC EQUATIONS; CAUCHY-PROBLEM; ILL-POSEDNESS; TIME;

D O I：

10.1016/j.jmaa.2017.04.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the generalized Burgers equation in a class of Gevrey functions G(sigma,delta,s) (T). We show that the generalized Burgers equation is well-posed in this space. Furthermore, we show that the solution is Gevrey-sigma in the spacial variable and Gevrey-2 sigma in the time variable. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：18 / 40

页数：23

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