Turkish Journal of Mathematics
DOI
10.3906/mat-1012-577
Abstract
This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions. We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time. Moreover, lower bounds for blow-up time of nonlocal problems are obtained.
Keywords
Blow-up solutions, bounds on blow-up time, nonlocal dispersal, comparison principle
First Page
466
Last Page
482
Recommended Citation
SUN, JIANWEN and YANG, FEIYING
(2013)
"Blow-up phenomena for nonlocal inhomogeneous diffusion problems,"
Turkish Journal of Mathematics: Vol. 37:
No.
3, Article 10.
https://doi.org/10.3906/mat-1012-577
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss3/10
