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

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


The profile near blowup time for solution of the heat equation with a nonlinear boundary condition

Authors: Bei Hu and Hong-Ming Yin
Journal: Trans. Amer. Math. Soc. 346 (1994), 117-135
MSC: Primary 35B40; Secondary 35B05, 35K60
MathSciNet review: 1270664
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper studies the blowup profile near the blowup time for the heat equation $ {u_t} = \Delta u$ with the nonlinear boundary condition $ {u_n} = {u^p}$ on $ \partial \Omega \times [0,T)$. Under certain assumptions, the exact rate of the blowup is established. It is also proved that the blowup will not occur in the interior of the domain. The asymptotic behavior near the blowup point is also studied.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35B40, 35B05, 35K60

Retrieve articles in all journals with MSC: 35B40, 35B05, 35K60

Additional Information

PII: S 0002-9947(1994)1270664-3
Keywords: Blowup rate, asymptotic behavior, elliptic estimates, parabolic estimates
Article copyright: © Copyright 1994 American Mathematical Society

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