A Non-Local Regularization of the Short Pulse Equation

被引：0
作者：
Coclite, Giuseppe Maria [1 ]
di Ruvo, Lorenzo [2 ,3 ]
机构：
[1] Politecn Bari, Dipartimento Meccan Matemat & Management, I-70125 Bari, Italy
[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
[3] Ist Nazl Alta Matemat INdAM, Grp Nazl Anal Matemat Probabil & Loro Applicaz GN, Rome, Italy
来源：
MINIMAX THEORY AND ITS APPLICATIONS | 2021年 / 6卷 / 02期
关键词：
Existence; uniqueness; stability; short pulse equation; non-local formulation; Cauchy problem; OSTROVSKY-HUNTER EQUATION; NONHOMOGENEOUS INITIAL-BOUNDARY; FINITE-DIFFERENCE SCHEME; GLOBAL WELL-POSEDNESS; CONSERVATION-LAWS; DYNAMICS; MODEL; WELLPOSEDNESS; CONVERGENCE; SCATTERING;
D O I：
暂无
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. In this paper, we consider a nonlocal regularization of that equation and prove its well-posedness.
引用
收藏
页码：295 / 310
页数：16
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