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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


On the Well-posedness of the Magnetic, Semi-relativistic Schrödinger-Poisson System

Discontinuity, Nonlinearity, and Complexity 7(3) (2018) 233--241 | DOI:10.5890/DNC.2018.09.002

Vitali Vougalter

University of Toronto, Department of Mathematics,Toronto, Ontario, M5S 2E4, Canada

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Abstract

We prove global existence and uniqueness of strong solutions for the Schrödinger-Poisson system in the repulsive Coulomb case with relativistic, magnetic kinetic energy.

Acknowledgments

V.V. is grateful to F. Gesztesy for the stimulating discussions and to I.M. Sigal for the support.

References

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