A Non-Local Regularization of the Short Pulse Equation
Minimax theory and its applications, Tome 6 (2021) no. 2
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.
Mots-clés :
Existence, uniqueness, stability, short pulse equation, non-local formulation, Cauchy problem
@article{MTA_2021_6_2_a7,
author = {Giuseppe Maria Coclite,Lorenzo di Ruvo},
title = {A {Non-Local} {Regularization} of the {Short} {Pulse} {Equation}},
journal = {Minimax theory and its applications},
year = {2021},
volume = {6},
number = {2},
url = {http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a7/}
}
Giuseppe Maria Coclite,Lorenzo di Ruvo. A Non-Local Regularization of the Short Pulse Equation. Minimax theory and its applications, Tome 6 (2021) no. 2. http://geodesic.mathdoc.fr/item/MTA_2021_6_2_a7/