Egorov, Yu. V. On solution of the mixed boundary value problem for the string equation. (Russian) Zbl 0745.35025 Vestn. Mosk. Univ., Ser. I 1991, No. 3, 77-79 (1991). The author proves unique solvability for the problem \[ \partial^ 2u/\partial t^ 2=\partial^ 2u/\partial x^ 2-p(t,x)\quad (0<t<T,\;0<x<L), \]\[ u(t,0)=u(t,L)=0\quad (0<t<T), \]\[ u(0,x)=\varphi(x),\quad {\partial u\over\partial t}(0,x)=\psi(x) \quad (0<x<L) \] for smooth data \(\varphi\) and \(\psi\). Reviewer: J.Appell (Würzburg) Cited in 1 Review MSC: 35M10 PDEs of mixed type 35L05 Wave equation 35R25 Ill-posed problems for PDEs Keywords:unique solvability PDFBibTeX XMLCite \textit{Yu. V. Egorov}, Vestn. Mosk. Univ., Ser. I 1991, No. 3, 77--79 (1991; Zbl 0745.35025)