TY - JOUR
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
N1 - Publisher Copyright:
© 2020 Elsevier Inc.
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 - http://www.scopus.com/inward/record.url?scp=85091217844&partnerID=8YFLogxK
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 -