TY - JOUR
T1 - Blow-up phenomena for p-adic semilinear heat equations
AU - Chacón-Cortés, L. F.
AU - Vargas, Andrés
N1 - Publisher Copyright:
© 2017, Pleiades Publishing, Ltd.
PY - 2017/7/1
Y1 - 2017/7/1
N2 - The problem of existence of solutions to p-adic semilinear heat equations with particular nonlinear terms has already been studied in the literature but the occurrence of blow-up phenomena has not been considered yet. We initiate the study of finite time blow-up for solutions of this kind of p-adic semilinear equations, proving that this phenomenon always arises under appropriate assumptions in the case when the exponent of nonlinearity times the dimension is strictly less than the order of the operator.
AB - The problem of existence of solutions to p-adic semilinear heat equations with particular nonlinear terms has already been studied in the literature but the occurrence of blow-up phenomena has not been considered yet. We initiate the study of finite time blow-up for solutions of this kind of p-adic semilinear equations, proving that this phenomenon always arises under appropriate assumptions in the case when the exponent of nonlinearity times the dimension is strictly less than the order of the operator.
KW - p-adic blow-up
KW - p-adic functional analysis
KW - p-adic heat equation
UR - https://www.scopus.com/pages/publications/85026878374
U2 - 10.1134/S2070046617030025
DO - 10.1134/S2070046617030025
M3 - Article
AN - SCOPUS:85026878374
SN - 2070-0466
VL - 9
SP - 183
EP - 196
JO - P-Adic Numbers, Ultrametric Analysis, and Applications
JF - P-Adic Numbers, Ultrametric Analysis, and Applications
IS - 3
ER -