@article {
author = {Liu, B. and Li, F.},
title = {A note on critical point and blow-up rates for singular and degenerate parabolic equations},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {41},
number = {5},
pages = {1195-1205},
year = {2015},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper, we consider singular and degenerate parabolic equations$$u_t =(x^alpha u_x)_x +u^m (x_0,t)v^{n} (x_0,t),quadv_t =(x^beta v_x)_x +u^q (x_0,t)v^{p} (x_0,t),$$ in $(0,a)times (0,T)$, subject to nullDirichlet boundary conditions, where $m,n, p,qge 0$, $alpha, betain [0,2)$ and $x_0in (0,a)$. The optimal classification of non-simultaneous and simultaneous blow-up solutions is determined. Additionally, we obtain blow-up rates and sets for the solutions. The singular rates for the derivation of the solutions are given.},
keywords = {singular and degenerate parabolic equations,blow-up classification,simultaneous blow-up rates},
url = {http://bims.iranjournals.ir/article_684.html},
eprint = {http://bims.iranjournals.ir/article_684_61771b8a5c6442802437ee788e2c3fce.pdf}
}