WIAS Preprint No. 1044, (2005)

Uniqueness for dissipative Schrödinger--Poisson systems



Authors

  • Neidhardt, Hagen
  • Rehberg, Joachim

2010 Mathematics Subject Classification

  • 47B44 47E05 35J05

Keywords

  • dissipative Schroedinger-type operators, dissipative Schroedinger-Poisson systems, carrier and current densities, density matrices, smooth operators, scattering theory

Abstract

The paper is devoted to the dissipative Schroedinger-Poisson system. We indicate conditions in terms of the Schroedinger-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.

Appeared in

  • J. Math. Phys., 46 (2005) pp. 113513/1--113513/28.

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