×

Increasing the smoothness of solutions of a mixed problem for the wave equation in the plane. (Russian. English summary) Zbl 1076.35022

Summary: The work is devoted to a studying of a boundary value problem for the inhomogeneous wave equation in the half-strip \(\Pi= \{(x, t): 0< x< 1,\,t> 0\}\). The author gives conditions such that the smoothness of any solution will increase with growing \(t\).

MSC:

35B65 Smoothness and regularity of solutions to PDEs
35L05 Wave equation
35L20 Initial-boundary value problems for second-order hyperbolic equations
PDFBibTeX XMLCite