一类非线性四阶抛物型方程的泛函不等式及其应用

IF 0.6 Q4 MATHEMATICS, APPLIED

Methods and applications of analysis Pub Date : 2016-01-01 DOI:10.4310/MAA.2016.V23.N2.A3

Xiangsheng Xu

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引用次数: 3

摘要

本文研究了一类非线性四阶抛物型方程的初边值问题。经典的量子漂移扩散模型就是其中的一员。建立了两个新的存在性定理。我们的方法是基于半离散方案，它产生一个序列的正近似解，和一个泛函不等式的类型

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A functional inequality and its applications to a class of nonlinear fourth-order parabolic equations

In this article we study the initial-boundary value problem for a family of nonlinear fourth order parabolic equations. The classical quantum drift-diffusion model is a member of the family. Two new existence theorems are established. Our approach is based upon a semi-discretization scheme, which generates a sequence of positive approximate solutions, and a functional inequality of the type

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来源期刊

Methods and applications of analysis MATHEMATICS, APPLIED-

自引率

33.30%

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