In this paper, we investigate the blowup properties of the positive solutions to the following nonlocal degenerate parabolic equation with homogeneous Dirichlet boundary conditions in the interval (0, l), where 0 < ฮฑ < 2, p 1 q 1 > m > 1. We first establish the local existence and uniqueness of its
Existence and blow-up for a degenerate parabolic equation with nonlocal source
โ Scribed by Fucai Li; Chunhong Xie
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 134 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
In this paper, we investigate the positive solution of nonlinear degenerate equation ut = u p ( u+au u q d x) with Dirichlet boundary condition. Conditions on the existence of global and blow-up solution are given. Furthermore, it is proved that there exist two positive constants C1; C2 such that
๐ SIMILAR VOLUMES
ln this paper, we establish the local existence of the solution and the finite-time blowup result for the following system: where p, q > 1 and 0 < rl, r2 < 1. Moreover, it is proved that the solution has global blow-up and uniformly on compact subsets of f/, where 7 = Pq -(1 -rl)(1 -r2) and T\* is
In this paper, we consider the blow-up properties of the radial solutions of the nonlocal parabolic equation with homogeneous Dirichlet boundary condition, where ฮป, p > 0, 0 < ฮฑ โค 1. The criteria for the solutions to blow-up in finite time is given. It is proved that the blow-up is global and unifo
In this paper, we establish the local existence of the solution and the finite time blow-up result for the equation where T U is the blow-up time.