Loss of Regularity in the $K(m,n)$ Equations
Analysis of PDEs
2018-05-23 v3
Abstract
Using a priori estimates we prove that initially nonnegative, smooth and compactly supported solutions of the equations must lose their smoothness in finite time. Formation of a singularity is a prerequisite for the emergence of compactons.
Keywords
Cite
@article{arxiv.1709.03322,
title = {Loss of Regularity in the $K(m,n)$ Equations},
author = {Alon Zilburg and Philip Rosenau},
journal= {arXiv preprint arXiv:1709.03322},
year = {2018}
}