Abstract
The convergence of the formal Fourier solution to a mixed problem for the wave equation with a summable potential is analyzed under weaker assumptions imposed on the initial position u(x, 0) = φ(x) than those required for a classical solution up to the case φ(x)∈ L p [0,1] for p > 1. It is shown that the formal solution series always converges and represents a weak solution of the mixed problem.
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