Existence and blow-up of solutions of a fourth-order nonlinear diffusion equation
β Scribed by Chunhua Jin; Jingxue Yin; Li Yin
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 194 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1468-1218
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π SIMILAR VOLUMES
Let T be an integer with T β₯ 5 and let T 2 = {2, 3, . . . , T }. We show the existence and multiplicity of positive solutions of the boundary value problem of nonlinear fourth-order difference equation
The universal blow-up of the fourth order parabolic evolution problem is established. We prove that if the energy of the initial datum is negative, then finite time blow-up occurs. Also we get some nondegeneracy results on blow-up for this problem.
## Abstract In this paper the nonlinear viscoelastic wave equation associated with initial and Dirichlet boundary conditions is considered. Under suitable conditions on __g__, it is proved that any weak solution with negative initial energy blows up in finite time if __p__ > __m__. Also the case o