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Global existence for the 3-D semilinear damped wave equations in the scattering case
Published 6 Jul 2018 in math.AP | (1807.02403v1)
Abstract: We study the global existence of solutions to semilinear damped wave equations in the scattering case with derivative power-type nonlinearity on (1+3) dimensional nontrapping asymptotically Euclidean manifolds. The main idea is to exploit local energy estimate, together with local existence to convert the parameter $\mu$ to small one.
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