 Analytic Goursat problem for a Klein--Gordon equation (source code)

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= Analytic Goursat problem for a Klein--Gordon equation
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In null coordinates, the characteristic boundary problem
$$
u_{\xi\eta}=-\frac14u,\qquad
u(\xi,0)=a(\xi),\qquad
u(0,\eta)=b(\eta)
$$
is a Volterra integral equation. Compatible analytic boundary data determine a unique analytic solution.

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