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A Strongly Degenerate Quasilinear Equation: the Parabolic Case
被引：0
|作者：
Fuensanta Andreu
Vicent Caselles
José M. Mazón
机构：
[1] Universitat de Valencia,Dept. de Análisis Matemático
[2] Universitat Pompeu-Fabra,Dept. de Tecnologia
来源：
Archive for Rational Mechanics and Analysis
|
2005年
/
176卷
关键词：
Entropy;
Neural Network;
Complex System;
Nonlinear Dynamics;
Convex Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove the existence and uniqueness of entropy solutions of the Neumann problem for the quasilinear parabolic equation ut=÷ a(u, Du), where a(z,ξ)=∇ξf(z,ξ), and f is a convex function of ξ with linear growth as ||ξ||→∞, satisfying other additional assumptions. In particular, this class includes the case where f(z,ξ)=φ(z)ψ(ξ), φ>0, and ψ is a convex function with linear growth as ||ξ||→∞.
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页码：415 / 453
页数：38
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