MULTIPLICATION OF WEAK FUNCTIONS

This paper is a contionuation of [1] and is concerned with multiplication of weak functions. Here the weak functions are treated as generalized expansions in Hermite functions in [2].     

激光超声方法研究固-固界面波传播特性

对界面波的传播特性进行了理论及实验研究.首先探讨了界面波的求根问题，基于黎曼面分析，给出了求解界面波特征方程所有根的一般方法.理论上对三种常见的界面波——Stoneley波，Leaky Rayleigh及Leaky Interface波传播机理进行了分析，描述了三种界面波的波矢及位移势在两种介质中的状态.最后基于光弹效应原理, 利用全光学的激光超声手段对界面波进行了实验测量，实测结果与理论符合很好.     

EXISTENCE OF GLOBAL SOLUTIONS OF SEMILINEAR STOKES EQUATION

In this paper, we consider the following initial problem of semilinear Stokes equations with the existence of global solutions obtained     

W~lL_p(Φ)空间的迹定理与强非线性变分问题

我们在[1]中建立了 W~2Lp(Φ;E_n~ )的迹定理,但在[1]中是利用调和函数作反嵌入定理的,这个方法不适用于ι为任意的情形。在本文中我们将对任意的ι用平均函数作反嵌入定理,其思想来源于[2].然后把它应用于一般区域的、被积函数是指数型增长的多重积分的极小问题。     

L_p(φ)空间与带权的 Bessel 场位

<正> 本文讨论某些积分算子在一类特殊的 Orlicz 空间 L_p(φ),E_p(φ)的作用问题.特别讨论了 L_p(φ)空间上的带权的 Bessel 场位.正如普通的 Bessel 场位是空间的推广一样,带权的 Bessel 场位也是带权的空间的推广.当其密度属于 L_p 时的情形是 Osman Kraja 首先讨论的,在[2]中我们讨论了一维情形的 Tr(?)dinger类型的不等式.在本文中我们将完成其多维情形,并研究其密度属于 L_p(φ)的情形.     

A SUPPLEMENT TO THE PAPERS CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (Ⅱ)-(Ⅲ)

In the papers (Ⅱ)—(Ⅲ), we studied the global existence of the solutions for the isentropic equation of gas dynamics     

WEAK CONVERGENCE OF SOME DIRICHLET SERIES

1 Besicovitch Inner ProductIll this paper, we consider Dirichlet serie8where an, tL = 1, 2,' ', are complex nunlbers. They are Besicovitch almost periodic functionsWe see the 8ystenl {e.(t); e.(t) = e--it Iog 1l, 71 = l, 2,' .} fOrnis a1l orthollor11la1 systelll witl1respect to tI1e BesicovitcI1 iIl1ler productThell we call fOrm the gelleralized trigouolnetrical polynolIlialsAccording to tl1e idea developed il1 [l],[2], auy Dirichlet seriesis weakly convergent over K witll respect to …     

某些幂权不等式

本文是工作[1],[4]的继续,把其中得到的不等式(幂权)进一步完善,并得到新的应用。     

MELLIN TRANSFORM IN WEAK FUNCTIONS AND MUENTS FORMULA

In this paper, the authors introduce some Mellin transforms in weak functions and discuss their applications to Mfints formula of the R.iemann zeta-function.     

SUPERLINEAR CONSERVATION LAW WITH VISCOSITY

This paper gives some global existence results of the superlinear conservation law with viscosity.