Time estimates for the Cauchy problem for a third-order hyperbolic equation
A classical solution is considered for the Cauchy problem: (utt−Δu)t+utt−αΔu=f(x,t), x∈ℝ3, t>0; u(x,0)=f0(x), ut(x,0)=f1(x), and utt(x)=f2(x), x∈ℝ3, where α=const, 0<α<1. The above equation governs the propagation of time-dependent acoustic waves in a relaxing medium. A classical solution o...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203204361 |