On the stationary quantum drift-diffusion model

DOI10.1007/s000330050218zbMath0936.35057OpenAlexW2046664887MaRDI QIDQ1386188

Naoufel Ben Abdallah, Andreas Unterreiter

Publication date: 18 May 2000

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000330050218

zbMATH Keywords

drift-diffusion modelsemi-classical limitbipolar quantum hydro-dynamical modelelliptic boundary value problems of degenerate typesemi-conductor

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) Methods involving semicontinuity and convergence; relaxation (49J45) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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