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Uniqueness for Dissipative Schrödinger-Poisson Systems

Please always quote using this URN:urn:nbn:de:0296-matheon-4554
  • 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.

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Metadaten
Author:Hagen Neidhardt, Joachim Rehberg
URN:urn:nbn:de:0296-matheon-4554
Referee:Alexander Mielke
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/02/19
Release Date:2008/01/02
Tag:
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J05 Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]
47-XX OPERATOR THEORY / 47Bxx Special classes of linear operators / 47B44 Accretive operators, dissipative operators, etc.
47-XX OPERATOR THEORY / 47Exx Ordinary differential operators [See also 34Bxx, 34Lxx] / 47E05 Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47)
Preprint Number:450
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