一类带有阻尼项和源项的波动方程的整体解的存在性
일류대유조니항화원항적파동방정적정체해적존재성
Global Existence of Solution to Nonlinear Wave Equation with Damping and Source Terms
  • 万方数据
    应用泛函分析学报 응용범함분석학보
    ACTA ANALYSIS FUNCTIONALIS APPLICATA
    2010年 1期 1-5 ,共5页

    冯红银萍%李胜家%逯丽清

    풍홍은평%리성가%록려청

    非线性波动方程%指数衰减%整体解 非線性波動方程%指數衰減%整體解
    비선성파동방정%지수쇠감%정체해
    nonlinear wave equation%exponentially decay%global existence
    研究带有阻尼项的非线性波动方程(1.1),得出在初值满足一定条件时,方程的整体解存在,且解的能量是指数衰减的.
    연구대유조니항적비선성파동방정(1.1),득출재초치만족일정조건시,방정적정체해존재,차해적능량시지수쇠감적.
    This article focus on the nonlinear wave equation(1.1).Under some restrictions on the parameters in the system,the paper obtain two results on the global existence of solution and exponentially decay of the energy.
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