In this work, the nonexistence of the global solutions to initial boundary value problems with dissipative terms in the boundary conditions is considered for a class of quasilinear hyperbolic equations. The nonexistence proof is achieved by the usage of the so-called concavity method. In this method
Nonexistence of Global Solutions of Some Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions
โ Scribed by M. Kirane; S. Kouachi; N. Tatar
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 266 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0025-584X
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โฆ Synopsis
In this paper the non-existence of global solutions of two fourth-order hyperbolic equations with dynamic boundary conditions is considered. The method of proof makes use of the generalized convexity method due to LADYZHENSKAYA and KALANTAROV [4].
๐ SIMILAR VOLUMES
In this paper the non -existence of global solutions of two fourth-order hyperbolic iquations with dynamic boundary conditions is considered. Here we prove stronger results than that ol M. KIRANE, S . KOUACHI and N. TATAR by a different method.
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