On a property of solutions of the wave equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 3, pp. 425-428
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We consider solutions of the wave equation in $S'(R_{n+1})$ ($n$ is odd) that become zero in the doubly connected region $\vert q^0\vert>\vert\widetilde q\vert+a$. We show that if a condition of sufficient decrease at infinity is imposed on the solution the solution also vanishes in the region $\vert q^0\vert\leqslant\vert\widetilde q\vert-a$.
[1] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, «Nauka», 1964 | MR