Wellposedness of bounded solutions of the non-homogeneous initial boundary for the short pulse equation

被引：18
|
作者：
Coclite G.M. [1 ]
Di Ruvo L. [1 ]
机构：
[1] Department of Mathematics, University of Bari, via E. Orabona 4, Bari
来源：
Bollettino dell'Unione Matematica Italiana | 2015年 / 8卷 / 1期
关键词：
Boundary value problems; Conservation laws; Entropy solutions; Existence; Short pulse equation; Stability; Uniqueness;
D O I：
10.1007/s40574-015-0023-3
中图分类号：
学科分类号：
摘要：
The short pulse equation provides a model for the propagation of ultra-short light pulses in silica optical fibers. It is a nonlinear evolution equation. In this paper the wellposedness of bounded solutions for the inhomogeneous initial boundary value problem associated to this equation is studied. © 2015 Unione Matematica Italiana.
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页码：31 / 44
页数：13
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