The type of problem under consideration is where D is a smooth bounded domain of R N, By constructing an auxiliary function and using Hopf's maximum principles on it, existence theorems of blow-up solutions, upper bound of "blow-up time", upper estimates of "blow-up rate", existence theorems of glo
Blow-up of solutions of a semilinear hyperbolic equation and a parabolic equation with general forcing term and boundary condition
β Scribed by Jianmin Zhu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 179 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
Semilinear hyperbolic and parabolic initial-boundary value problems are studied. Criteria for solutions of a semilinear hyperbolic equation and a parabolic equation with general forcing term and general boundary condition to blow up in finite time are obtained.
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