A note on “On the existence of solutions of quasilinear wave equations with viscosity”
✍ Scribed by Guowang Chen; Yanping Wang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 271 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The fourth-order quasilinear di erential equation is considered under the assumptions that ¿ 0, ÿ ¿ 0 and q(t) is a positive continuous function on an interval [a; ∞), a ¿ 0, and the necessary and su cient integral conditions for the existence of eventually positive solutions of (1.1) are establish
In this paper, following the ideas of Lax, we prove a blow-up result for a class of solutions of the equation & -&x -&+xx -= 0, corresponding, in certain cases, to the development of a singularity in the second derivatives of 4. These solutions solve locally (in time) the Cauchy problem for smooth i