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Bounds of the blowup time in parabolic equations with weighted source under nonhomogeneous Neumann boundary condition
Author(s) -
Lv Xiaoshuang,
Song Xianfa
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2859
Subject(s) - neumann boundary condition , mathematics , nonlinear system , boundary (topology) , boundary value problem , mathematical analysis , von neumann architecture , upper and lower bounds , pure mathematics , physics , quantum mechanics
In this paper, we are concerned with the bounds for blowup time of the solution to parabolic equations with weighted nonlinear source subject to nonhomogeneous Neumann boundary condition. We obtain the lower and upper bounds for blowup time of the solution to the problem in Ω ⊂ R 3 . Copyright © 2013 John Wiley & Sons, Ltd.