Boundedness of solutions to a time-dependent semiconductor model

DOI10.1016/j.jmaa.2010.04.059zbMath1203.35056OpenAlexW2059175407MaRDI QIDQ986577

Xiangsheng Xu

Publication date: 11 August 2010

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.2010.04.059

zbMATH Keywords

mixed boundary conditionsapproximation argumentelliptic-parabolic systeminterpolation inequality

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) PDEs in connection with optics and electromagnetic theory (35Q60) A priori estimates in context of PDEs (35B45) Statistical mechanics of semiconductors (82D37)

Cites Work

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• A partial answer to a conjecture of B. Simon concerning unique continuation
• The Green function for uniformly elliptic equations
• The semiconductor system with temperature effect
• Degenerate semiconductor device equations with temperature effect
• Finiteness of the Lower Spectrum of Schrodinger Operators with Singular Potentials
• A drift-diffusion model for semiconductors with temperature effects
• Time-dependent solutions of a nonlinear system arising in semiconductor theory
• An existence theorem for weak solutions of the basic stationary semiconductor equations
• A Hierarchy of Diffusive Higher-Order Moment Equations for Semiconductors
• Pointwise estimates and quasilinear parabolic equations

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