Global classical solutions to the Cauchy problem for a nonlinear wave equation
oleh: Haroldo R. Clark
| Format: | Article |
|---|---|
| Diterbitkan: | Hindawi Limited 1998-01-01 |
Deskripsi
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.