Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631706 | Applied Mathematics and Computation | 2010 | 10 Pages |
Abstract
By constructing different auxiliary functions and using Hopf’s maximum principle, the sufficient conditions for the blow-up and global solutions are presented for nonlinear parabolic equation ut = ∇(a(u)b(x)c(t)∇u) + f(x, u, q, t) with different kinds of boundary conditions. The upper bounds of the “blow-up time” and the “upper estimates” of global solutions are provided. Finally, some examples are presented as the application of the obtained results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tong Zhang, Yinnian He,