奇数维空间中耗散波方程解的L^p估计
기수유공간중모산파방정해적L^p고계
Lp Estimates for the Dissipative Wave Equation in Odd Spatial Dimention
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    滨州学院学报 빈주학원학보
    JOURNAL OF BINZHOU UNIVERSITY
    2011年 3期 30-34 ,共5页

    李念英%薛学军

    리념영%설학군

    黏性波方程%Lp估计%逐点估计%格林函数 黏性波方程%Lp估計%逐點估計%格林函數
    점성파방정%Lp고계%축점고계%격림함수
    viscous wave equation%Lp estimate%pointwise estimate%Green＇s function
    考虑奇数维空间中耗散波方程的柯西问题,用格林函数的方法得到解的逐点估计,进而得到解的Lp估计,柯西问题的解呈现出广义惠更斯原理.
    고필기수유공간중모산파방정적가서문제,용격림함수적방법득도해적축점고계,진이득도해적Lp고계,가서문제적해정현출엄의혜경사원리.
    We study the Cauchy problem for the dissipative wave equation in odd spatial dimention.By using the method of Green＇s function,we obtain the pointwise estimates of the solution,which yields the Lp estimates of the solution.The solution of the Cauchy problem exhibits some generalized Huyghens principle.
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