On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory
โ Scribed by A. I. Aptekarev; Yu. G. Rykov
- Book ID
- 110210487
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2006
- Tongue
- English
- Weight
- 458 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1061-9208
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๐ SIMILAR VOLUMES
We shall be concerned with the development of singularities of the C 1 -solutions of the quasilinear N รN hyperbolic system Ut +A(U )Ux =0 in one space dimension. Generalizing a nonlinearity condition introduced by MacCamy and Mizel (Arch. Rat. Mech. Anal. 25 (1967) 299-320), in this paper we prove
We prove the existence of bounded solutions of some boundary value problems for degenerate elliptic equations of second order in divergence form. Our results cover also the unbounded domain case. We discuss also the uniqueness problem and asymptotic behaviour of the solutions of our equation.