Global classical solutions to the Cauchy problem for a nonlinear wave equation
| Autor: | Haroldo R. Clark |
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| Jazyk: | angličtina |
| Rok vydání: | 1998 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 21, Iss 3, Pp 533-548 (1998) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S016117129800074X |
| Popis: | In this paper we consider the Cauchy problem {u″+M(|A12u|2)Au=0 in ]0,T[u(0)=u0, u′(0)=u1, where u′ is the derivative in the sense of distributions and |A12u| is the H-norm of A12u. We prove the existence and uniqueness of global classical solution. |
| Databáze: | Directory of Open Access Journals |
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