Finite time blow-up for a p-adic nonlocal semilinear ultradiffusion equation

L. F. Chacón-Cortés; Ismael Gutiérrez-García; Anselmo Torresblanca-Badillo; Andrés Vargas

doi:10.1016/j.jmaa.2020.124599

Finite time blow-up for a p-adic nonlocal semilinear ultradiffusion equation

L. F. Chacón-Cortés
, Ismael Gutiérrez-García
, Anselmo Torresblanca-Badillo
, Andrés Vargas

Universidad del Norte

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

10 Scopus citations

Abstract

We study the well-posed problem for general p-adic nonlocal semilinear ultradiffusion equations and the emergence of finite time blow-up for their solutions. In particular, we prove that this phenomenon does appear under appropriate assumptions on the nonlinear term. Finally, we illustrate and study by numerical means the behavior of blow-up for a semilinear equation with power nonlinearity.

Original language	English
Article number	124599
Journal	Journal of Mathematical Analysis and Applications
Volume	494
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2020.124599
State	Published - 15 Feb 2021

Keywords

p-Adic blow-up
p-Adic functional analysis
p-Adic pseudo-differential operator
p-Adic ultradiffusion

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10.1016/j.jmaa.2020.124599

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title = "Finite time blow-up for a p-adic nonlocal semilinear ultradiffusion equation",

abstract = "We study the well-posed problem for general p-adic nonlocal semilinear ultradiffusion equations and the emergence of finite time blow-up for their solutions. In particular, we prove that this phenomenon does appear under appropriate assumptions on the nonlinear term. Finally, we illustrate and study by numerical means the behavior of blow-up for a semilinear equation with power nonlinearity.",

keywords = "p-Adic blow-up, p-Adic functional analysis, p-Adic pseudo-differential operator, p-Adic ultradiffusion",

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T1 - Finite time blow-up for a p-adic nonlocal semilinear ultradiffusion equation

AU - Chacón-Cortés, L. F.

AU - Gutiérrez-García, Ismael

AU - Torresblanca-Badillo, Anselmo

AU - Vargas, Andrés

PY - 2021/2/15

Y1 - 2021/2/15

N2 - We study the well-posed problem for general p-adic nonlocal semilinear ultradiffusion equations and the emergence of finite time blow-up for their solutions. In particular, we prove that this phenomenon does appear under appropriate assumptions on the nonlinear term. Finally, we illustrate and study by numerical means the behavior of blow-up for a semilinear equation with power nonlinearity.

AB - We study the well-posed problem for general p-adic nonlocal semilinear ultradiffusion equations and the emergence of finite time blow-up for their solutions. In particular, we prove that this phenomenon does appear under appropriate assumptions on the nonlinear term. Finally, we illustrate and study by numerical means the behavior of blow-up for a semilinear equation with power nonlinearity.

KW - p-Adic blow-up

KW - p-Adic functional analysis

KW - p-Adic pseudo-differential operator

KW - p-Adic ultradiffusion

UR - https://www.scopus.com/pages/publications/85091217844

U2 - 10.1016/j.jmaa.2020.124599

DO - 10.1016/j.jmaa.2020.124599

M3 - Article

AN - SCOPUS:85091217844

SN - 0022-247X

VL - 494

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 124599

ER -

Finite time blow-up for a p-adic nonlocal semilinear ultradiffusion equation

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Keywords

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