Global Existence and Extinction of Weak Solutions to a Class of Semiconductor Equations with Fast Diffusion Terms

We consider the transient drift-diffusion model with fast diffusion terms. This problem is not only degenerate but also singular. We first present existence result for general nonlinear diffusivities for the Dirichlet-Neumann mixed boundary value problem. Then, the extinction phenomenon of weak solu...

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Bibliographic Details
Main Author: Bin Wu
Format: Article
Language:English
Published: SpringerOpen 2008-10-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/961045