一类带阻尼项非线性抛物型方程的衰减性
일류대조니항비선성포물형방정적쇠감성
Decay rate for a class of the nonlinear parabolic equation with damping
  • 万方数据
    阜阳师范学院学报：自然科学版 부양사범학원학보：자연과학판
    Journal of Fuyang Teachers College:Natural Science
    2011年 3期 6-8 ,共3页

    李健平%汪全珍

    리건평%왕전진

    L2衰减%带阻尼项%弱解%非线性抛物方程 L2衰減%帶阻尼項%弱解%非線性拋物方程
    L2쇠감%대조니항%약해%비선성포물방정
    L2 decay%with damping%weak solution%nonlinear parabolic equation
    在已有的一类非线性抛物方程基础上添加了阻尼项,讨论了一类带有阻尼项的非线性抛物型方程的衰减性,利用经典的Fourier分解方法,进一步证明了其解在L2范数下的衰减率为（1＋t）-4／n,其衰减率与线性热传导方程下的衰减率相同。
    재이유적일류비선성포물방정기출상첨가료조니항,토론료일류대유조니항적비선성포물형방정적쇠감성,이용경전적Fourier분해방법,진일보증명료기해재L2범수하적쇠감솔위（1＋t）-4／n,기쇠감솔여선성열전도방정하적쇠감솔상동。
    Add a damping term on the base of a class of nonlinear parabolic equation, then we study the decay rate for the nonlinear parabolic equation with damping, Further, with the aid of the classic Fourier splitting methods, the solution decays in L2 norms at （ 1 ＋ t） -a/4 are proved . , which is the same as the solutions of the heat equation.
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