Nonlinear Small Data Scattering for the Wave and Klein-Gordon Equation.
Hartmut Pecher (1984)
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Hartmut Pecher (1984)
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Mitsuhiro Nakao (1991)
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Robert T. Glassey (1973)
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Robert T. Glassey (1981)
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Hartmut Pecher, Robert Glassey (1982)
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Hartmut Pecher (1988)
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Vladimir Georgiev (1990)
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Hiroyuki Takamura (1994)
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Changxing Miao, Youbin Zhu (2006)
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We consider scattering properties of the critical nonlinear system of wave equations with Hamilton structure ⎧uₜₜ - Δu = -F₁(|u|²,|v|²)u, ⎨ ⎩vₜₜ - Δv = -F₂(|u|²,|v|²)v, for which there exists a function F(λ,μ) such that ∂F(λ,μ)/∂λ = F₁(λ,μ), ∂F(λ,μ)/∂μ = F₂(λ,μ). By using the energy-conservation law over the exterior of a truncated forward light cone and a dilation identity, we get a decay estimate for...
Lars Hörmander (1976)
Mathematische Zeitschrift
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Rolf Leis (1992)
Banach Center Publications
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