Abstract
We give an example of an inverse problem for a hyperbolic equation which has a unique local solution but no global solutions.
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References
Romanov V. G., Inverse Problems of Mathematical Physics [in Russian], Nauka, Moscow (1984).
Belishev M. I. and Blagoveshchenski? A. S., Dynamic Inverse Problems of Wave Theory [in Russian], St. Petersburg Univ., St. Petersburg (1999).
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Romanov, V.G. An Example of the Absence of a Global Solution to Some Inverse Problem for a Hyperbolic Equation. Siberian Mathematical Journal 44, 867–868 (2003). https://doi.org/10.1023/A:1025997005749
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DOI: https://doi.org/10.1023/A:1025997005749