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].
Levi Conditions and Global Gevrey Regularity for the Solutions of Quasilinear Weakly Hyperbolic Equations
β Scribed by Michael Reissig; Karen Yagdjian
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 859 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0025-584X
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## Abstract Regularity of the solution for the wave equation with constant propagation speed is conserved with respect to time, but such a property is not true in general if the propagation speed is variable with respect to time. The main purpose of this paper is to describe the order of regularity
In this paper we "nd su$cient conditions, involving only the pressure, that ensure the regularity of weak solutions to the Navier}Stokes equations. Conditions involving only the pressure were previously obtained in [7,4]. Following a remark in this last reference we improve, in particular, Kaniel's