The Cauchy problem of the three-dimensional Wigner-Poisson equations (Q2706874)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem of the three-dimensional Wigner-Poisson equations |
scientific article |
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27 January 2002
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Wigner-Poisson system
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Cauchy problem
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approximation
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The Cauchy problem of the three-dimensional Wigner-Poisson equations (English)
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The author studies the Cauchy problem for the 3-dimensional Wigner-Poisson system. The problem is reduced to an equivalent problem for the Schrödinger-Poisson system. By using an approximation method as well as a priori estimate the author proves existence, uniqueness of a solution to the Cauchy problem, and convergence of approximate solutions.
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