Local well-posedness of the Cauchy problem for a p-adic Nagumo-type equation
Analysis of PDEs
2022-05-03 v1 Functional Analysis
Abstract
We introduce a new family of p-adic non-linear evolution equations. We establish the local well-posedness of the Cauchy problem for these equations in Sobolev-type spaces. For a certain subfamily, we show that the blow-up phenomenon occurs and provide numerical simulations showing this phenomenon.
Keywords
Cite
@article{arxiv.2205.00592,
title = {Local well-posedness of the Cauchy problem for a p-adic Nagumo-type equation},
author = {L. F. Chacón-Cortés and C. A. Garcia-Bibiano and W. A. Zúñiga-Galindo},
journal= {arXiv preprint arXiv:2205.00592},
year = {2022}
}