Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation

DOI10.1007/s00332-012-9123-8zbMath1258.35003OpenAlexW2093552781WikidataQ61904606 ScholiaQ61904606MaRDI QIDQ1928243

Jesús Montejo-Gámez, Pilar Guerrero, Juanjo Nieto, José Luis López

Publication date: 2 January 2013

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-012-9123-8

zbMATH Keywords

initial-boundary value problemlocal solvabilitydissipative quantum mechanicsDoebner-Goldin equationslogarithmic nonlinearitiesWigner-Fokker-Planck equationMadelung transformation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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