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A priori Estimates of Generalized Solutions of the Wave Equation
Differential Equations, 2001This paper is devoted to obtain a priori estimates for generalized solutions of the wave equation \[ u_{tt}(x,t)- u_{xx}(x,t)= 0\tag{1} \] in the spaces \(W^1_2\) and \(L_2\) with zero initial conditions \(u(x,0)=0\) and \(u_t(x,0)=0\) for \(0\leq x\leq \ell\). The author considers two cases: a) both boundary conditions \(u(0,t)= \mu(t)\), \(u(\ell,t)=
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The Generalized Estimating Equation Approach When Data are Not Missing Completely at Random
Journal of the American Statistical Association, 1997Myunghee Cho Paik
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