Local Well-Posedness of the Cauchy Problem for a p -Adic Nagumo-Type Equation

Authors

L. F. Chacón-Cortés
C. A. Garcia-Bibiano
Wilson A. Zuniga-Galindo, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

12-2-2022

Abstract

We introduce a new family of p -adic nonlinear 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.

Comments

Original published version available at https://doi.org/10.1134/S2070046622040021

Recommended Citation

Chacón-Cortés, L. F., C. A. Garcia-Bibiano, and Wilson A. Zuniga-Galindo. "Local Well-Posedness of the Cauchy Problem for a-Adic Nagumo-Type Equation." p-Adic Numbers, Ultrametric Analysis and Applications 14, no. 4 (2022): 279-296. https://doi.org/10.1134/S2070046622040021

Publication Title

p-Adic Numbers, Ultrametric Analysis and Applications

DOI

10.1134/S2070046622040021