05-295 H. Neidhardt, J. Rehberg

Uniqueness for Dissipative Schr\"odinger-Poisson Systems (434K, pdf ) Aug 29, 05

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Abstract. The paper is devoted to the dissipative Schr\"odinger-Poisson system. We indicate conditions in terms of the Schr\"odinger-Poisson data which guarantee the uniqueness of the solution. Moreover, it is shown that if the system is sufficiently small shrunken, then it always admits a unique solution.

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