Well-posedness results for the short pulse equation

被引：35

作者：

Coclite, Giuseppe Maria ^{[1
]}

di Ruvo, Lorenzo ^{[1
]}

机构：

[1] Univ Bari, Dept Math, I-70125 Bari, Italy

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 04期

关键词：

Existence; Uniqueness; Stability; Entropy solutions; Conservation laws; Short pulse equation; Cauchy problem; Boundary value problems;

D O I：

10.1007/s00033-014-0478-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 well-posedness of bounded solutions for the homogeneous initial boundary value problem and the Cauchy problem associated with this equation are studied.

引用

页码：1529 / 1557

页数：29

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