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 < Ξ± < 2, p 1 q 1 > m > 1. We first establish the local existence and uniqueness of its
A degenerate parabolic equation with a nonlocal source and an absorption term
β Scribed by Han, Yuzhu; Gao, Wenjie
- Book ID
- 120399301
- Publisher
- Taylor and Francis Group
- Year
- 2010
- Tongue
- English
- Weight
- 161 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0003-6811
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π SIMILAR VOLUMES
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
A nonlinear parabolic problem with a nonlocal boundary condition is studied. We prove the existence of a solution for a monotonically increasing and Lipschitz continuous nonlinearity. The approximation method is based on Rothe's method. The solution on each time step is obtained by iterations, conve