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

Kiyoshi Mochizuki,Sojiro Murai

doi:10.1007/978-3-030-10937-0_10

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

Kiyoshi Mochizuki, Sojiro Murai

https://doi.org/10.1007/978-3-030-10937-0_10

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Publication Date: Jan 1, 2019

Affiliation: Chuo University, College of Industrial Technology

#Smoothing Estimates #Equations In Exterior Domain + Show 8 more

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Abstract

This paper is based on the talk of the first author at ISAAC Congress 2017 at Vaxjo, 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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