Global classical solutions to the Cauchy problem for a nonlinear wave equation
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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129800074X |