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Gravity waves on the free surface of an incompressible perfect fluid of finite depth. (English) Zbl 0493.76018

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35Q05 Euler-Poisson-Darboux equations
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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[1] HajiHMOB, B.H., Sa^ana KoiiiH-IlyaccoHa. J^HHaMHKa cnjiomnoH cpe^bi, 18(1974), 104-210.
[2] Ovsjannikov, L. V., To the shallow water theory foundation, Arch. Mech., 26 (1974), 407-422. · Zbl 0283.76012
[3] Kano, T., et Nishida, T., Sur les ondes de surface de 1’eau avec une justification mathematique des equations des ondes en eau pen profonde, /. Math. Kyoto Univ., 19 (1979), 335-370. · Zbl 0419.76013
[4] OBCHHHHKOB, JI. B., HeJinHeHHan aa/iana KOIIIH B iiiKajie 6anaxoBbix npocTpancTB, MAH CCCP, 200 (1971), 739-792.
[5] HajiHMOB, B. M., AnpHOpHfaie OUCHKH peiueHHH ajuiHnTHHecKHx ypaBHCHHH B KJiacce aHajiHTHHecKHX (J)yHKUHH H HX npHJiOH<eHHH K sa^aHc KouiH-FIyaccoHa, MAH CCCP, 189 (1969), 45-48.
[6] Mizohata, S., 777^ theory of partial differential equations, Cambridge Univ. Press, 1973. · Zbl 0263.35001
[7] BecoB, O. B., H-TibHH, B. n. H HMKOJILCKHH, C. M.5 Mnmezpajibnue npedcmaejieHUH ^yHKUfiiH u meopeMbt BJioweHUH, M. HayKa, 1975.
[8] Hormander, L., Linear partial differential operators, Springer, 1969.
[9] Courant, R. and Hilbert, D., Methods of mathematical physics, Vol. 2, Interscience, New York, 1962. · Zbl 0099.29504
[10] Petrowsky, I. G., Uber das Cauchysche Problem fur Systeme von partiellen Differential- gleichungen, Mat. Sb., 2 (44) (1937), 815-870. · Zbl 0018.40503
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