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December 2003 Strong Solutions to a Kind of Cross Diffusion Parabolic System
Li Chen, Ling Hsiao, Yong Li
Commun. Math. Sci. 1(4): 799-808 (December 2003).


A kind of strongly coupled cross diffusion parabolic system, which can be used as the energy transport model in semiconductor science, is studied in this paper. The existence and uniqueness of strong soltution to the initial boundary value problem are obtained, under the condition that the initial data are a small perturbation of an isothermal stationary soltuion. Based on this result, an application of Newton iteration on solving this problem is also given.


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Li Chen. Ling Hsiao. Yong Li. "Strong Solutions to a Kind of Cross Diffusion Parabolic System." Commun. Math. Sci. 1 (4) 799 - 808, December 2003.


Published: December 2003
First available in Project Euclid: 24 June 2005

zbMATH: 1083.35044
MathSciNet: MR2041457

Rights: Copyright © 2003 International Press of Boston

Vol.1 • No. 4 • December 2003
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