Existence theorems for the quantum drift–diffusion equations with mixed boundary conditions

DOI10.1142/S0219199715500480zbMath1341.35163OpenAlexW2131211613MaRDI QIDQ2809260

Xiangsheng Xu

Publication date: 27 May 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199715500480

zbMATH Keywords

existencemixed boundary conditionsquantum drift-diffusion model

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Statistical mechanics of semiconductors (82D37) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with statistical mechanics (35Q82)

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Cites Work

• Unnamed Item
• Compact families of piecewise constant functions in \(L^p (0,T;B)\)
• On the stationary quantum drift-diffusion model
• Logarithmic up bounds for solutions of elliptic partial differential equations

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