DIFFUSIVE TRANSPORT OF PARTIALLY QUANTIZED PARTICLES: EXISTENCE, UNIQUENESS AND LONG-TIME BEHAVIOUR

DOI10.1017/S0013091504000987zbMath1126.35051MaRDI QIDQ3419795

Nicolas Vauchelet, Florian Méhats, Naoufel Ben Abdallah

Publication date: 7 February 2007

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

relative entropySchrödinger equationconvex minimizationdrift-diffusion systemsubband method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37)

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