半导体漂移扩散方程稳态解的存在性

Abstract

Abstract:

In this paper, the author considers the stationary solutions to the mixed boundary valueproblem of the semiconductor equations. Applying the Schauders fixed point theorem, the author obtains the existence of approximation solutions. By means of the prioriestimates method, the author has proved the existence of the stationary solutions for the problem.

Key words: Semiconductor equations, Stationary solutions, Existence

CLC Number:

35Q99

Cite this article

GENG Jia-Sheng. Stationary Solutions of DriftDiffusion Semiconductor Equations[J].Acta mathematica scientia,Series A, 2004, 4(5): 618-625.

share this article

0
/ / Recommend

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://121.43.60.238/sxwlxbA/EN/

http://121.43.60.238/sxwlxbA/EN/Y2004/V4/I5/618

Trendmd

References

［1］Jerome J W. Consistency of semiconductor modeling: An existence and stability a

nalysis for the stationary Van Roosbroeck system. SIAM J Appl Math, 1985, 45(4): 565-590
［2］Frehse J, Naumann J. An existence theorem for weak solutions of the basi

c stationary semiconductor equation. Appl Anal, 1993, 48(1-4): 157-172
［3］Frehse J, Naumann J. On the existence of weak solutions to a system of st

ationary semiconductor equations with avalanche generation. Math Models Meth Appl Sci, 1994, 4(2): 273-289
［4］Frehse J, Naumann J. Stationary semiconductor equations modeling avalanch

e generation. J Math Anal Appl, 1996, 198(3): 685-702
［5］Markowich P A. A nonlinear eigenvalue problem modeling the avaanche effe

ct in semiconductor diodes. SIAM J Math Anal, 1985, 16(6): 1268-1283
［6］Naumann J. On the existence of weak solutions to the stationary semicond

uctor equations: The current driven case. Math Models Meth Appl Sci, 1999, 9(1): 111-126
［7］郭柏灵, 邢家省. 具非均匀介电常数的半导体方程组的初边值问题. 数学物理学报, 2001, 21A(1): 62-69

Related Articles 15

[1]	Wang Jun, Wang Tianlu, Wen Yanhua, Zhou Xianfeng. Global Solutions of IVP for N-Dimensional Nonlinear Fractional Differential Equations with Delay [J]. Acta mathematica scientia,Series A, 2018, 38(5): 903-910.
[2]	Xing Chao, Ren Mengzhang, Luo Hong. The Existence of Global Weak Solutions to Thermohaline Circulation Equations [J]. Acta mathematica scientia,Series A, 2018, 38(2): 284-290.
[3]	Zhang Shuqin, Hu Lei. Initial Value Problem for Nonlinear Fractional Differential Equations with Variable-order Derivative and a Parameter [J]. Acta mathematica scientia,Series A, 2018, 38(2): 291-303.
[4]	Zhu Xincai. Existence of Constrained Minimizers for Schrödinger-Poisson Equations in R^N [J]. Acta mathematica scientia,Series A, 2018, 38(1): 61-70.
[5]	Su Xiao, Wang Shubin. Finite Time Blow-Up for the Damped Semilinear Wave Equations with Arbitrary Positive Initial Energy [J]. Acta mathematica scientia,Series A, 2017, 37(6): 1085-1093.
[6]	Li Qin, Yang Zuodong. Infinitely Many High Energy Solutions of p-Kirchhoff-Type System with Sign-Changing Weight [J]. Acta mathematica scientia,Series A, 2017, 37(5): 869-876.
[7]	Li Qingwei, Gao Wenjie, Han Yuzhu. Existence of Solutions to Some Singular Elliptic Problems with Degenerate Coercivity [J]. Acta mathematica scientia,Series A, 2017, 37(5): 877-894.
[8]	Huang Decheng, Chen Shouxin. New Proof for the Existence of Minimizing Energy Solutions for the Ginzburg-Landau Equations [J]. Acta mathematica scientia,Series A, 2017, 37(2): 299-306.
[9]	Qiu Hua, Zhang Yingshu, Fang Shaomei. The Global Existence Result of a Leray-α-Oldroyd Model to the Incompressible Viscoelastic Flow [J]. Acta mathematica scientia,Series A, 2017, 37(1): 102-112.
[10]	Yuan Hailong, Li Yanling. Existence and Stability of Coexistence States for a Lotka-Volterra Competition Model [J]. Acta mathematica scientia,Series A, 2017, 37(1): 173-184.
[11]	Zhang Hongwei, Liu Gongwei, Hu Qingying. Initial Boundary Value Problem for a Class Wave Equation with Logarithmic Source Term [J]. Acta mathematica scientia,Series A, 2016, 36(6): 1124-1136.
[12]	Liu Yang. Potential Well and Application to Non-Newtonian Filtration Equations at Critical Initial Energy Level [J]. Acta mathematica scientia,Series A, 2016, 36(6): 1211-1220.
[13]	Huang Shoujun, Wang Rui. Plane Wave Solutions to the Euler Equations for Chaplygin Gases [J]. Acta mathematica scientia,Series A, 2016, 36(4): 681-689.
[14]	Yao Qingliu. Existence and Successively Iterative Method of Singular Solution to a Nonlinear Fractional Differential Equation [J]. Acta mathematica scientia,Series A, 2016, 36(2): 287-296.
[15]	Li Qin, Yang Zuodong. Multiple Solutions for a Class of Quasilinear Nonhomogeneous Elliptic Systems with Nonlinear Boundary Conditions [J]. Acta mathematica scientia,Series A, 2016, 36(2): 307-316.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	Wu Zhaojun, Sun Daochun. On the Borel Direction of Largest Type of Quasimeromorphic Mappings[J]. Acta mathematica scientia,Series A, 2006, 26(1): 15 -020 .
[2]	Zhang Li; Zhou Weijun. On the Global Convergence of the Hager-Zhang Conjugate Gradient Method with Armijo Line Search[J]. Acta mathematica scientia,Series A, 2008, 28(5): 840 -845 .
[3]	An Guimei\|Hou Jinchuan. Multiplication-Preserving Maps On Matrix Algebras[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1194 -1205 .
[4]	Wang Chunxiang. Independence Number in Claw-free Cubic Graphs[J]. Acta mathematica scientia,Series A, 2009, 29(1): 145 -150 .
[5]	Xu Huiming;Liu Taishun. Boundary Values and Duality of Some Spaces of Holomorphic[J]. Acta mathematica scientia,Series A, 2006, 26(1): 113 -123 .
[6]	Lu Qun;Cao Guang Fu. Multiplication Operators in Orlicz Space[J]. Acta mathematica scientia,Series A, 2006, 26(1): 124 -128 .
[7]	Bao Jundong; Deng Feiqi; Luo Qi. Robust Stabilization for Delay Differential Systems Based on SLQ Control[J]. Acta mathematica scientia,Series A, 2007, 27(2): 359 -367 .
[8]	Lin Xiaoning. MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS[J]. Acta mathematica scientia,Series A, 2006, 26(6): 1105 .
[9]	Sun Daochun. Production of Julia Set[J]. Acta mathematica scientia,Series A, 2006, 26(2): 161 -167 .
[10]	Chu Yuming. Apollonian Isometries and Mobius Transformations[J]. Acta mathematica scientia,Series A, 2006, 26(4): 522 -526 .

Abstract
References
Related Articles
Metrics
Comments
Recommended

TOP

Stationary Solutions of DriftDiffusion Semiconductor Equations

PDF (PC)