Smoothing properties and scattering for the magnetic Schrödinger and Klein-Gordon equations in an exterior domain with time-dependent perturbations

DOI10.4171/PRIMS/53-3-2zbMath1379.35048OpenAlexW2725904206MaRDI QIDQ2403287

Sojiro Murai, Kiyoshi Mochizuki

Publication date: 8 September 2017

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/53-3-2

zbMATH Keywords

resolvent estimatesabstract scattering theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Abstract hyperbolic equations (35L90) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Strichartz estimates for magnetic Schrödinger, wave and Klein-Gordon equations in exterior domain and application to scattering theory

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