THE WIGNER-POISSON-FOKKER-PLANCK SYSTEM WITH EXCHANGE POTENTIAL IN WEIGHTED L\(^2\) SPACE
Keywords:
Wigner-Poisson-Fokker-Planck system, exchange potential, contraction mapping principle, parabolic regularizationAbstract
This paper is concerned with the Wigner-Poisson-Fokker-Planck(WPFP) system subject to Coulomb and exchange potential. In this work, existence and uniqueness of the local mild solution are established on an appropriately weighted-L2 space in one dimension. The main difficulties in establishing mild solution are to derive a-priori estimates on the appropriate potential term. The proof is based on contraction mapping principle and parabolic regularization of the quantum Fokker-Planck term.
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Published
2015-12-31
How to Cite
Li, B., & Shen, J.-Q. (2015). THE WIGNER-POISSON-FOKKER-PLANCK SYSTEM WITH EXCHANGE POTENTIAL IN WEIGHTED L\(^2\) SPACE. Italian Journal of Pure and Applied Mathematics, 35, 277–292. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6433
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Articoli - Forum Editrice
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Copyright (c) 2015 Bin Li, Jie-Qiong Shen
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
