Some blowup results for a nonlinear parabolic equation with a gradient term

Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-22923

Chipot, M; Weissler, F (1989). Some blowup results for a nonlinear parabolic equation with a gradient term. SIAM Journal on Numerical Analysis, 20(4):886-907.

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Abstract

Under some conditions, a blowup result is proved for the solution $u$ of: $\[\begin{gathered}$ u_t = $\Delta$ u - $\left$ | ${\nabla u}$ $\right$ |^q + $\left$ | ${u}$ $\right$ |^ ${p - 1}$ u, $\quad$ t > 0, $\quad$ x $\in$ $\Omega$ $\hfill$ $\\$ u(t,x) = 0, $\quad$ t > 0, $\quad$ x $\in$ $\Gamma$ , $\hfill$ $\\$ u(0,x) = $\varphi$ (x), $\quad$ x $\in$ $\Omega$ . $\hfill$ $\\$ $\end{gathered}$ $\]$ The associated elliptic problem is also studied. ©1989 Society for Industrial and Applied Mathematics

Item Type:	Journal Article, refereed, original work
Communities & Collections:	07 Faculty of Science > Institute of Mathematics
DDC:	510 Mathematics
Uncontrolled Keywords:	gradient dependent nonlinearity; blow-up
Language:	English
Date:	1989
Deposited On:	29 Oct 2009 12:19
Last Modified:	23 Nov 2012 14:41
Publisher:	Society for Industrial and Applied Mathematics
ISSN:	0036-1429
Additional Information:	Copyright © 1989, Society for Industrial and Applied Mathematics
Publisher DOI:	10.1137/0520060
Related URLs:	http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0682.35010 http://www.ams.org/mathscinet-getitem?mr=1000727
WoS Citation Count:	66

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