The Cauchy problem of the three-dimensional Wigner-Poisson equations (Q2706874)

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The Cauchy problem of the three-dimensional Wigner-Poisson equations
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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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