Wave splitting for first-order systems of equations.
Caviglia, G., Morro, A. (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Time estimates for the Cauchy problem for a third-order hyperbolic equation.”
Wave splitting for first-order systems of equations.
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∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 with the Bulgarian Ministry of Education, Science and Thechnology. In this work we study the existence of global solution to the semilinear wave equation (1.1) (∂2t − ∆)u = F(u), where F(u) = O(|u|^λ) near |u| = 0 and λ > 1. Here and below ∆ denotes the Laplace operator on R^n. The existence of solutions with small initial data, for the case of space dimensions n = 3 was...