Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices

被引：0

作者：

Borevich E.Z. ^{[1
]}

Chistyakov V.M. ^{[2
]}

机构：

[1] Department of Mathematics, St.-Petersburg Electrotechnical U., 197376 St.-Petersburg

[2] Department of Mathematics, St.-Petersburg Technical University, 195251 St.-Petersburg

来源：

Applications of Mathematics | 2001年 / 46卷 / 05期

关键词：

Asymptotic behaviour of solutions; Carrier transport; Constant densities of ionized impurities; Interior transition layer phenomena; Nonlinear boundary value problem; Semiconductors;

D O I：

10.1023/A:1013708427592

中图分类号：

学科分类号：

摘要：

The present paper describes mobile carrier transport in semiconductor devices with constant densities of ionized impurities. For this purpose we use one-dimensional partial differential equations. The work gives the proofs of global existence of solutions of systems of such kind, their bifurcations and their stability under the corresponding assumptions.

引用

页码：383 / 400

页数：17

共 9 条

[1]

Recke L., An example for bifurcation of solutions of the basic equations for carrier distributions in semiconductors, Z. Angew. Math. Mech., 67, pp. 269-271, (1987)

[2]

Fife P.C., Boundary and interior transition layer phenomena for pairs of second-order differential equations, J. Math. Anal. Appl., 54, pp. 497-521, (1976)

[3]

Fife P.C., Transition layers in singular perturbation problems, J. Differential Equations, 15, pp. 77-105, (1974)

[4]

Crandall M.G., Rabinowitz P.H., Bifurcation from simple eigenvalues, J. Funct. Anal., 8, pp. 321-340, (1971)

[5]

Bonch-Bruevich V.L., Domain Electric Instability in Semiconductors, (1972)

[6]

Rabinowitz P.H., Some global results for nonlinear eigenvalue problems, J. Funct. Anal., 7, pp. 487-513, (1971)

[7]

O'Malley Jun. R.E., Phase-plane solutions to some perturbation problems, J. Math. Anal. Appl., 54, pp. 449-466, (1976)

[8]

Henry D., Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics, (1981)

[9]

Chang K.W., Howes F.A., Nonlinear Singular Perturbation Phenomena: Theory and Applications, (1984)

← 1 →