In this paper, an initial boundary value problem related to the equation is studied. Under suitable conditions on f , we establish a blow-up result for certain solution with positive initial energy. And blow-up time will be also considered by using the differential inequality technique. The upper e
Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation
โ Scribed by Liqing Lu; Shengjia Li
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 221 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
In this paper, we consider a strongly damped wave equation with fractional damping on part of its boundary and also with an internal source. Under some appropriate assumptions on the parameters, and with certain initial data, a blow-up result with positive initial energy is established.
๐ SIMILAR VOLUMES
The initial boundary value problem for non-linear wave equations of Kirchhoff type with dissipation in a bounded domain is considered. We prove the blow-up of solutions for the strong dissipative term u t and the linear dissipative term u t by the energy method and give some estimates for the life s
## Abstract In this study, we consider a class of wave equations with strong damping and source terms associated with initial and Dirichlet boundary conditions. We establish a blow up result for certain solutions with nonpositive initial energy as well as positive initial energy. This further impro