Abstract
This paper deals with the asymptotic theory of initial value problems for semilinear wave equations in three space dimensions. The well-posedness and validity of formal approximations on a long time scale of order ∣ε∣−1 are discussed in the classical sense of C 2. This result describes accuratively the approximations of solutions. At the end of this paper, an application of the asymptotic theory is given to analyze a special model for a perturbed wave equation.
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Shaoyong, L., Chunlai, M. The asymptotic theory of initial value problems for semilinear wave equations in three space dimensions. Appl. Math. Chin. Univ. 12, 321–332 (1997). https://doi.org/10.1007/s11766-997-0033-8
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DOI: https://doi.org/10.1007/s11766-997-0033-8