𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The critical exponents for the quasi-linear parabolic equations with inhomogeneous terms

✍ Scribed by Xianzhong Zeng


Book ID
108175781
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
189 KB
Volume
332
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The convergence rate for a semilinear pa
✍ Christian Stinner πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 229 KB

We study solutions to the Cauchy problem for a semilinear parabolic equation with a nonlinearity which is critical in the sense of Joseph and Lundgren and establish the rate of convergence to regular steady states. In the critical case, this rate contains a logarithmic term which does not appear in

Critical Exponent for the Bipolar Blowup
✍ Noriko Mizoguchi; Hirokazu Ninomiya; Eiji Yanagida πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 224 KB

It is shown that there exists a critical exponent p \* > 1 for the bipolar blowup in the following sense. If 1 < p ≀ p \* , then there exist arbitrarily small initial data such that the solution exhibits the bipolar blowup, whereas if p > p \* , then the bipolar blowup does not occur for any suffici