2.3.1 初期値境界値問題

(2.10)	$\displaystyle u_{tt}(x,t)$	$\displaystyle =$	$\displaystyle u_{xx}(x,t)$ $\displaystyle \mbox{($(x,t)\in (0,1)\times\R$)}$ $\displaystyle ,$
(2.11)	$\displaystyle u(0,t)$	$\displaystyle =$	$\displaystyle u(1,t)=0$ $\displaystyle \mbox{($t\in\R$)}$ $\displaystyle ,$
(2.12)	$\displaystyle u(x,0)$	$\displaystyle =$	$\displaystyle f(x)$ $\displaystyle \mbox{($x\in[0,1]$)}$ $\displaystyle ,$
(2.13)	$\displaystyle u_t(x,0)$	$\displaystyle =$	$\displaystyle g(x)$ $\displaystyle \mbox{($x\in[0,1]$)}$ $\displaystyle .$