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

L. F. Chacón-Cortés; C. A. Garcia-Bibiano; W. A. Zúñiga-Galindo

doi:10.1134/S2070046622040021

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

L. F. Chacón-Cortés
, C. A. Garcia-Bibiano
, W. A. Zúñiga-Galindo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	279-296
Number of pages	18
Journal	P-Adic Numbers, Ultrametric Analysis, and Applications
Volume	14
Issue number	4
DOIs	https://doi.org/10.1134/S2070046622040021
State	Published - Dec 2022

Keywords

$p$-adic analysis
Sobolev-type spaces
blow-up phenomenon
pseudo-differential operators

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title = "Local Well-Posedness of the Cauchy Problem for a p -Adic Nagumo-Type Equation",

abstract = "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.",

keywords = "\$p\$-adic analysis, Sobolev-type spaces, blow-up phenomenon, pseudo-differential operators",

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T1 - Local Well-Posedness of the Cauchy Problem for a p -Adic Nagumo-Type Equation

AU - Chacón-Cortés, L. F.

AU - Garcia-Bibiano, C. A.

AU - Zúñiga-Galindo, W. A.

PY - 2022/12

Y1 - 2022/12

N2 - 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.

AB - 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.

KW - $p$-adic analysis

KW - Sobolev-type spaces

KW - blow-up phenomenon

KW - pseudo-differential operators

UR - https://www.scopus.com/pages/publications/85143165755

U2 - 10.1134/S2070046622040021

DO - 10.1134/S2070046622040021

M3 - Article

AN - SCOPUS:85143165755

SN - 2070-0466

VL - 14

SP - 279

EP - 296

JO - P-Adic Numbers, Ultrametric Analysis, and Applications

JF - P-Adic Numbers, Ultrametric Analysis, and Applications

IS - 4

ER -

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

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Keywords

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