Permanent URL to this publication: http://dx.doi.org/10.5167/uzh22923
Chipot, M; Weissler, F (1989). Some blowup results for a nonlinear parabolic equation with a gradient term. SIAM Journal on Numerical Analysis, 20(4):886907.

PDF
7MB View at publisher 
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
Citations  Altmetrics  Downloads 
Additional indexing
Item Type:  Journal Article, refereed, original work 

Communities & Collections:  07 Faculty of Science > Institute of Mathematics 
Dewey Decimal Classification:  510 Mathematics 
Uncontrolled Keywords:  gradient dependent nonlinearity; blowup 
Language:  English 
Date:  1989 
Deposited On:  29 Oct 2009 11:19 
Last Modified:  05 Apr 2016 13:29 
Publisher:  Society for Industrial and Applied Mathematics 
ISSN:  00361429 
Additional Information:  Copyright © 1989, Society for Industrial and Applied Mathematics 
Publisher DOI:  10.1137/0520060 
Related URLs:  http://www.zentralblattmath.org/zbmath/search/?q=an%3A0682.35010 http://www.ams.org/mathscinetgetitem?mr=1000727 
Users (please log in): suggest update or correction for this item
Repository Staff Only: item control page