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solMunk, W. H., & P. S. Arthur, Wave intensity along a refracted ray. Gravity waves, Nat. Bureau Standards, Circ. 531 (1952).
solSun Tsao, On a waveguide of surface gravity waves [Russian]. Izvestia Sibirskogo Otdelenija Akad. Nauk S.S.S.R. No. 5, 20–25 (1959).
solBichenkov, E. I., & R. M. Garipov, Propagation of waves on the heavy fluid surface in the basin with a cylindrical bottom [Russian]. Abstracts of reports at the session of seismology Commission of the Academy of Sciences of the USSR. Yushno-Sahkalinsk 1965.
Garipov, R. M., Unsteady waves above the submerged ridge [Russian]. Dokl. Akad. Nauk S.S.S.R. 161, No. 3, 547–550 (1965).
solKotik, J., Existence and uniqueness theorems for linear water waves. Mass. Ins. Technology (1952).
Kampe de Feriet, J., & J. Kotik, Surface waves of finite energy. J. Rational Mech. Analysis 2, 577–585(1953).
Rumjantsev, B. N., On unsteady movements of heavy fluid near the beach [Russian]. Prikladnaja matematika i mechanika 24, No. 3, 554–557 (1960).
solSobolev, S. L., Some applications of functional analysis in mathematical physics. A.M.S. 1963.
Višik, M. I., & O. A. Ladyzhenskaya, Boundary value problems for partial differential equations [Russian]. Uspehi Mat. Nauk 11, No. 6 (72), 41–97 (1956).
solFinkelstein, A., The initial value problem for transient water waves. Thesis, New York Univ. 1953.
Riesz, F., & B. Sz.-Nagy, Functional Analysis. New York: Ungar 1955.
Krein, S. G., On interpolation theorem in the theory of operators. Dokl. Akad. Nauk S.S.S.R. 130, No. 3, 491–496 (1960).
Communicated by M. A. Lavrentiev
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Garipov, R.M. On the linear theory of gravity waves: the theorem of existence and uniqueness. Arch. Rational Mech. Anal. 24, 352–362 (1967). https://doi.org/10.1007/BF00253152
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