非线性Kirchhoff型波动方程解的能量衰减

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 485-491.

非线性Kirchhoff型波动方程解的能量衰减

Department of Mathematics, North China University of Water Resources and Electric Power

收稿日期:2011-10-10 出版日期:2013-12-30 发布日期:2023-02-16
作者简介:SONG Zhi-hua(1975-), male, native of Xinxiang, Henan, a lecturer of North China University of Water Resources and Electric Power, M.S.D., engages in nonlinear hyperbolic equation.
基金资助:
Supported by the National Natural Science Foundation of China(11271336)

Energy Decay of Solution to a Nonlinear Wave Equation of Kirchhoﬀ Type

Received:2011-10-10 Online:2013-12-30 Published:2023-02-16
About author:SONG Zhi-hua(1975-), male, native of Xinxiang, Henan, a lecturer of North China University of Water Resources and Electric Power, M.S.D., engages in nonlinear hyperbolic equation.
Supported by:
Supported by the National Natural Science Foundation of China(11271336)

摘要/Abstract

摘要： The paper studies the asymptotic behavior of solution to the initial boundary value problem for a nonlinear hyperbolic equation of Kirchhoff type u_tt-M(∥A ^1/2u∥²)Au + u_t-|u|^au = 0: It proves the global existence of solution by constructing a stable set and the energy exponential decay estimate by applying a lemma of V Komornik.

关键词: wave equation of Kirchho? type, initial boundary value problem, exponential decay estimate

Abstract: The paper studies the asymptotic behavior of solution to the initial boundary value problem for a nonlinear hyperbolic equation of Kirchhoff type utt-M(∥A 1/2 u∥2)Au + ut-|u|au = 0: It proves the global existence of solution by constructing a stable set and the energy exponential decay estimate by applying a lemma of V Komorn

Key words: wave equation of Kirchho? type, initial boundary value problem, exponential decay estimate

中图分类号:

O175.29

宋志华. 非线性Kirchhoff型波动方程解的能量衰减[J]. 数学季刊, 2013, 28(4): 485-491.

SONG Zhi-hua. Energy Decay of Solution to a Nonlinear Wave Equation of Kirchhoﬀ Type[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 485-491.

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