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Weak solutions to the stationary quantum drift-diffusion model

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Publication:837604
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DOI10.1016/j.jmaa.2009.06.030zbMath1173.35644OpenAlexW2094392078MaRDI QIDQ837604

N. E. Zubov

Publication date: 20 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.030

zbMATH Keywords

a priori estimatesstationary solutionssemiclassical limitfixed-point theoremquantum drift-diffusion model


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of semiconductors (82D37)


Related Items

Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics



Cites Work

  • Unnamed Item
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  • The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model
  • On the stationary quantum drift-diffusion model
  • Nonlinear problems in quantum semiconductor modeling.
  • A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System
  • Convergent semidiscretization of a nonlinear fourth order parabolic system
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