On a class of nonlinear BBM-like equations

被引：0
|
作者：
Hagen, T
Turi, J
机构：
[1] Virginia Polytech Inst & State Univ, Dept Math, Interdisciplinary Ctr Appl Math, Blacksburg, VA 24061 USA
[2] Univ Texas, Program Math Sci, Richardson, TX 75083 USA
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 1998年 / 17卷 / 02期
关键词：
Benjamin-Bona-Mahony equation; fractional powers of linear operators; well-posedness;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive well-posedness results for a Cauchy problem associated to a class of semilinear equations with structured nonlinearities. In particular, these nonlinearities are characteristically composed of the fractional power of a linear operator and a locally Lipschitz continuous map. As an application we treat a boundary-initial value problem for the so called Benjamin-Bona-Mahony (BBM) equation.
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页码：161 / 172
页数：12
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