Mixed problem for the wave equation with arbitrary two-point boundary conditions (Q498191)

This paper concerns the wave equation \(\partial_t^2u-\partial_x^2u=q(x)u\), \(x\in[0,1]\), with a complex-values continuous coefficient \(q\) and with several two-point boundary conditions. The Cauchy-Poincaré method of contour integration is used in order to get classical solutions under minimal smoothness assumptions on the initial data.