NOTE ON CRITICAL EXPONENTS FOR A SYSTEM OF HEAT-EQUATIONS COUPLED IN THE BOUNDARY-CONDITIONS

Authors
WANG S XIE CH WANG MX
Citation
S. Wang et al., NOTE ON CRITICAL EXPONENTS FOR A SYSTEM OF HEAT-EQUATIONS COUPLED IN THE BOUNDARY-CONDITIONS, Journal of mathematical analysis and applications, 218(1), 1998, pp. 313-324
Citations number
17
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
218
Issue
1
Year of publication
1998
Pages
313 - 324
Database
ISI
SICI code
0022-247X(1998)218:1<313:NOCEFA>2.0.ZU;2-8
Abstract
This note establishes the blow up estimates near the blow up time for a system of heat equations coupled in the boundary conditions. Under c ertain assumptions, the exact rate of blow up is established. We also prove that the only solution with vanishing initial values when pq gre ater than or equal to 1 is the trivial one. (C) 1998 Academic Press.