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Literature cited
T. Carleman, “Sur un problème de unicité pour des systèmes d'équations aux derivées partielles á deux variables independantes,” Ark. Math. Astron. Fys.,26B, 1–9 (1939).
A. C. Murray and M. H. Protter, “Asymptotic behavior and Cauchy problem for ultrahyperbolic equations,” Indiana Univ. Math. J.,24, No. 2, 115–131 (1974).
S. P. Shishatskii, “A priori estimates in the problem of extension of a wave field from a cylindrical time-like surface,” Dokl. Akad. Nauk SSSR,213, No. 1, 49–50 (1973).
A. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problems, Halsted Press (1977).
M. M. Lavrentiev, Some Improperly Posed Problems of Mathematical Physics, Springer-Verlag (1967).
L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, Berlin-Heidelberg-New York (1963).
P. Cohen, The Nonuniqueness of the Cauchy Problem, Office Nav. Res. Tech. Rep. No. 93, Stanford Univ. (1960).
F. John, “Continuous dependence on data for solutions of partial differential equations with a prescribed bound,” Commun. Pure Appl. Math.,13, No. 4, 551–585 (1960).
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Translated from Matematicheskie Zametki, Vol. 32, No. 1, pp. 75–82, July, 1982.
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Isakov, V.M. Uniqueness of extension of solutions of hyperbolic equations. Mathematical Notes of the Academy of Sciences of the USSR 32, 517–520 (1982). https://doi.org/10.1007/BF01137226
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DOI: https://doi.org/10.1007/BF01137226