具动力边界条件椭圆方程解的衰减性

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 365-369.

具动力边界条件椭圆方程解的衰减性

Department of Mathematics, Henan University of Technology

收稿日期:2006-10-24 出版日期:2009-09-30 发布日期:2023-06-27
作者简介: HU Qing-ying(1966- ), female, native of Fugou, Henan, an associate professor of Henan University of Technology, engages in PDE.
基金资助:
Supported by the National Natural Science Foundation of China(10671182)； Supported by the Natural Science Foundation of Henan Province(0611053300； 200510463024)； Supported by the Young Skeleton Teacher Project of the Higher School of Henan Province；

A Decay Result to an Elliptic Equation with Dynamical Boundary Condition

Department of Mathematics, Henan University of Technology

Received:2006-10-24 Online:2009-09-30 Published:2023-06-27
About author: HU Qing-ying(1966- ), female, native of Fugou, Henan, an associate professor of Henan University of Technology, engages in PDE.
Supported by:
Supported by the National Natural Science Foundation of China(10671182)； Supported by the Natural Science Foundation of Henan Province(0611053300； 200510463024)； Supported by the Young Skeleton Teacher Project of the Higher School of Henan Province；

摘要/Abstract

摘要： The decay estimations of the solution to an elliptic equation with dynamical boundary condition is considered. We proved that, for suitable initial datum, the energy of the solution decays "in time" exponentially if p=0,whereas the decay is polynomial order if p>0.

关键词: elliptic equation, dynamical boundary condition, decay

Abstract: The decay estimations of the solution to an elliptic equation with dynamical boundary condition is considered. We proved that, for suitable initial datum, the energy of the solution decays "in time" exponentially if p=0,whereas the decay is polynomial order if p>0.

Key words: elliptic equation, dynamical boundary condition, decay

中图分类号:

O175.25

呼青英, 朱碧, 张宏伟. 具动力边界条件椭圆方程解的衰减性[J]. 数学季刊, 2009, 24(3): 365-369.

HU Qing-ying, ZHU Bi, ZHANG Hong-wei. A Decay Result to an Elliptic Equation with Dynamical Boundary Condition[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 365-369.

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