Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)



Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions

Authors: L. E. Payne and G. A. Philippin
Journal: Proc. Amer. Math. Soc. 141 (2013), 2309-2318
MSC (2010): Primary 35K55, 35K61, 35B30, 35B44
Published electronically: February 20, 2013
MathSciNet review: 3043012
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A class of initial boundary value problems for the semilinear heat equation with time dependent coefficients is considered. Using a first order differential inequality technique, the influence of the data on the behaviour of the solutions (blow-up in finite or infinite time, global existence) is investigated. Lower and upper bounds are derived for the blow-up time when blow-up occurs.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 35K55, 35K61, 35B30, 35B44

Retrieve articles in all journals with MSC (2010): 35K55, 35K61, 35B30, 35B44

Additional Information

L. E. Payne
Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853

G. A. Philippin
Affiliation: Département de Mathématiques et de Statistique, Université Laval, Québec, Canada G1V 0A6

Keywords: Parabolic problems, blow-up.
Received by editor(s): July 9, 2011
Received by editor(s) in revised form: October 9, 2011
Published electronically: February 20, 2013
Communicated by: Michael Hitrik
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia