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  5. GREEN FUNCTIONS OF A CLASS OF NONLINEAR DEGENERATE OPERATORS AND APPLICATION

GREEN FUNCTIONS OF A CLASS OF NONLINEAR DEGENERATE OPERATORS AND APPLICATION

来源 :The Third International Conference on Dynamics,Vibration and | 被引量 : 0次 | 上传用户：agreessive
【摘 要】
：
In this talk, a generalization of the usual Green function of Lapalcian operators to a class of nonlinear degenerate operators with X-ellipticiry is considered.Maximum principle and some apriori estim
【作 者】
：
Shenzhou Zheng 
【机 构】
：
Department of Mathematics Beijing Jiaotong University Beijing 100044,China
【出 处】
：
The Third International Conference on Dynamics,Vibration and
【发表日期】
：
2010年4期
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论文部分内容阅读
　　In this talk, a generalization of the usual Green function of Lapalcian operators to a class of nonlinear degenerate operators with X-ellipticiry is considered.Maximum principle and some apriori estimates in the sense of distribution are established, and a comparison with corresponding Green functions is also presented.As an application of the Green function, we will show a locally Holder continuity for nonlinear degenerate sub-elliptic equations with inhomogeneity items.
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