×

On classical solution of a mixed problem for a one-dimensional hyperbolic equation. (Russian) Zbl 0742.35037

Die Verfasserin betrachtet in \(Q=\{(x,t):0<x<\ell\), \(0<t<T\}\) die Aufgabe \[ \partial^ 2u/\partial t^ 2-a^ 2(x,t)\partial^ 2u/\partial x^ 2+b(x,t)\partial u/\partial t+c(x,t)\partial u/\partial x+q(x,t)u=0, \]
\[ u(x,0)=\varphi(x),\quad\partial u(x,0)/\partial t=\psi(x),\quad u(0,t)=u(\ell,t)=0 \] und gibt eine neue Methode zur Lösung derselben an.
Reviewer: J.Wloka (Kiel)

MSC:

35L20 Initial-boundary value problems for second-order hyperbolic equations
35M10 PDEs of mixed type
PDF BibTeX XML Cite