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\iteman{io-port 04040669}
\itemau{Lopez Saura, I.}
\itemti{Difference approximation and regularization of a parabolic problem of optimal control.}
\itemso{Vestn. Mosk. Univ., Ser. XV 1987, No.3, 35-42 (1987).}
\itemab
The paper deals with the optimal control problem $J(u)=a\sb 1\int\sp{\ell}\sb{0}\vert x(s,T,u)-q(s)\vert \quad 2ds+a\sb 2\int\sp{T}\sb{0}\vert x(\ell,\quad t,u)-v(t)\vert \quad 2dt=\min,$ $x\sb t=a\quad 2x\sb{ss}-u(t)x\sb s-bx+f(s,t),\quad 0<s<\ell,\quad 0<t\le T$ $x\sb s\vert\sb{s=0}=\alpha u(t)(x(0,t)-\nu (t)),\quad \quad x\sb s\vert\sb{s=\ell}=g(t),\quad \quad x(s,\quad 0)=\phi (s).$ This optimal control problem is solved via regularization and finite differences.
\itemrv{I.Bock}
\itemcc{}
\itemut{parabolic equations; optimal control problem; regularization; finite differences}
\itemli{}
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