Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 494, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2020.124599
Keywords
p-Adic blow-up; p-Adic ultradiffusion; p-Adic functional analysis; p-Adic pseudo-differential operator
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Funding
- Faculty of Sciences, Pontificia Universidad Javeriana, Bogota, Colombia [proy: 8493]
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The study investigates the well-posed problem of general p-adic nonlocal semilinear ultradiffusion equations and the occurrence of finite time blow-up for their solutions. It is proven that this phenomenon does occur under appropriate assumptions on the nonlinear term. Finally, the behavior of blow-up for a semilinear equation with power nonlinearity is illustrated and studied numerically.
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. (C) 2020 Elsevier Inc. All rights reserved.
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