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Convergence of series, sequences and functions and different modes of convergence.
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Limits of the wave equation with piecewise constant propagation speed
This question is cross-posted from math.stackexchange.com, where it did not (yet?) get any answers despite a +100 bounty.
Consider a wave equation
$$\frac{\partial^2 u}{\partial t^2} = c(x)^2 \frac{\ …