Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with localized source
β Scribed by Jun Zhou; Chunlai Mu
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 311 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0044-2275
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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
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.
## Abstract In this paper we investigate the global existence and finite time blowβup of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions. Here β__j__ denote the subβdifferential of __j__. Under suitable assumptions on __g__(Β·), __j__(Β·) an