Conserved quantities, continuation and compactly supported solutions of some shallow water models
Analysis of PDEs
2020-11-16 v3 Mathematical Physics
math.MP
Abstract
A proof that strong solutions of the Dullin-Gottwald-Holm equation vanishing on an open set of the (1+1) space-time are identically zero is presented. In order to do it, we use a geometrical approach based on the conserved quantities of the equation to prove a unique continuation result for its solutions. We show that this idea can be applied to a large class of equations of the Camassa-Holm type.
Keywords
Cite
@article{arxiv.2006.11079,
title = {Conserved quantities, continuation and compactly supported solutions of some shallow water models},
author = {Igor Leite Freire},
journal= {arXiv preprint arXiv:2006.11079},
year = {2020}
}
Comments
Major modifications in the original file. Inclusion of new results and references. Improvement of the discussion of the results