On space-time means and strong global solutions of nonlinear hyperbolic equations
โ Scribed by Philip Brenner
- Publisher
- Springer-Verlag
- Year
- 1989
- Tongue
- French
- Weight
- 521 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0025-5874
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๐ SIMILAR VOLUMES
We establish the existence of a global solution to an initial boundary value problem for the nonlinear anisotropic hyperbolic equation Depending on the range of the p i 's, we derive an exponential and a polynomial decay for the global solution.
The results of this paper are contained in a doctoral thesis submitted to the Graduate School of Arts and Sciences of New York University. Reproduction in whole or in part is permitted for any purpose of the United States Government.
In this paper, we study a nonlinear hyperbolic system with strong damping. Firstly, by use of the successive approximation method and a series of classical estimates, we prove the local existence and uniqueness of weak solution. Secondly, via some inequalities, applying the potential method and the