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Smoothing and Strichartz Estimates to Perturbed Magnetic Klein-Gordon Equations in Exterior Domain and Some Applications

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New Tools for Nonlinear PDEs and Application

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Abstract

This paper is based on the talk of the first author at ISAAC Congress 2017 at Växjö, Sweden. We deal with the smoothing and Strichartz estimates to magnetic Klein-Gordon equations with time-dependent perturbations in exterior domain. Also, the smoothing estimates are applied to establish a scattering of solutions for small perturbations.

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Correspondence to Kiyoshi Mochizuki .

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Mochizuki, K., Murai, S. (2019). Smoothing and Strichartz Estimates to Perturbed Magnetic Klein-Gordon Equations in Exterior Domain and Some Applications. In: D'Abbicco, M., Ebert, M., Georgiev, V., Ozawa, T. (eds) New Tools for Nonlinear PDEs and Application. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10937-0_10

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