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Scattering for Semilinear Wave Equation with Small Data in High Space Dimensions |
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| Authors: | Han Yang |
| Abstract: | In this paper we study the scattering theory for the semilincar wave equation u_{tt} - Δu = F(u(t, x), Du(t, x)) in R^n (n ≥ 4) with smooth and small data. We show that the scattering operator exists for the nonlinear term F = F(λ) = O(|λ|^{1, α}), where α is an integer and satisfies α ≥ 2, n = 4; α ≥ I, n ≥ 5. |
| Keywords: | Semilinear wave equation scattering asymptotic behavior |
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