Remarks on Blow-Up Phenomena in p-Laplacian Heat Equation with Inhomogeneous Nonlinearity
Year: 2021
Author: Eadah Ahmad Alzahrani, Mohamed Majdoub
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 42–50
Abstract
We investigate the p-Laplace heat equation ut−Δpu=ζ(t)f(u) in a bounded smooth domain. Using differential-inequality arguments, we prove blow-up results under suitable conditions on ζ, f, and the initial datum u0. We also give an upper bound for the blow-up time in each case.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n1.3
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 42–50
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Parabolic problems p-Laplacian equation blow-up positive initial energy.
Author Details
Eadah Ahmad Alzahrani Email
Mohamed Majdoub Email
-
Mathematical analysis and numerical simulation of a strongly nonlinear singular model
Maryem, Hourri | Laila , Taourirte | Nour Eddine , Alaa | Robert Dorin , FilipAnnals of the University of Craiova Mathematics and Computer Science Series, Vol. 50 (2023), Iss. 2 P.325
https://doi.org/10.52846/ami.v50i2.1697 [Citations: 0] -
New blow‐up conditions to p‐Laplace type nonlinear parabolic equations under nonlinear boundary conditions
Chung, Soon‐Yeong | Hwang, JaehoMathematical Methods in the Applied Sciences, Vol. 44 (2021), Iss. 7 P.6086
https://doi.org/10.1002/mma.7172 [Citations: 0]