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
相关论文
共 50 条
  • [41] CONCENTRATION PHENOMEN IN SOME NON-LOCAL EQUATION
    Bonnefon, Olivier
    Coville, Jerome
    Legendre, Guillaume
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (03): : 763 - 781
  • [42] On a non-local equation arising in population dynamics
    Coville, Jerome
    Dupaigne, Louis
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 727 - 755
  • [43] A Non-Local Diffusion Equation for Noise Removal
    Jingfeng Shao
    Zhichang Guo
    Wenjuan Yao
    Dong Yan
    Boying Wu
    [J]. Acta Mathematica Scientia, 2022, 42 : 1779 - 1808
  • [44] Scalar field equation with non-local diffusion
    Patricio Felmer
    Ignacio Vergara
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2015, 22 : 1411 - 1428
  • [45] A REMARK ON AN ELLIPTIC EQUATION WITH A NON-LOCAL NONLINEARITY
    PERLAMENZALA, G
    [J]. MATEMATICA APLICADA E COMPUTACIONAL, 1983, 2 (01): : 75 - 79
  • [46] NON-LOCAL PATCH-BASED REGULARIZATION FOR IMAGE RESTORATION
    Unni, V. S.
    Chaudhury, Kunal N.
    [J]. 2018 25TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING (ICIP), 2018, : 1108 - 1112
  • [47] A Two-Step Regularization Framework for Non-Local Means
    Sun, Zhong-Gui
    Chen, Song-Can
    Qiao, Li-Shan
    [J]. JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY, 2014, 29 (06) : 1026 - 1037
  • [48] Non-local sparse regularization model with application to image denoising
    Ning He
    Jin-Bao Wang
    Lu-Lu Zhang
    Guang-Mei Xu
    Ke Lu
    [J]. Multimedia Tools and Applications, 2016, 75 : 2579 - 2594
  • [49] Image despeckling with non-local total bounded variation regularization
    Jidesh, P.
    Banothu, Balaji
    [J]. COMPUTERS & ELECTRICAL ENGINEERING, 2018, 70 : 631 - 646
  • [50] Non-local total variation regularization models for image restoration
    Jidesh, P.
    Holla, Shivarama K.
    [J]. COMPUTERS & ELECTRICAL ENGINEERING, 2018, 67 : 114 - 133
12345