arXiv:1807.02403 Abstract | arXiv Analytics

arXiv:1807.02403 [math.AP]Abstract References Reviews Resources

Global existence for the 3-D semilinear damped wave equations in the scattering case

Published 2018-07-06Version 1

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.

Comments: 9 pages

Categories: math.AP

Subjects: 35L05, 35L15, 35L71

Keywords: semilinear damped wave equations, global existence, scattering case, exploit local energy estimate, dimensional nontrapping asymptotically euclidean manifolds

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