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References
I.Sh. Mogilevskii, V.A. Solonnikov, On the solvatibility of a free boundary problem for the Navier-Stokes equations in the Hölder space of functions. Nonlinear Analysis, Pisa, 1991, p.257–271.
V A. Solonnikov, Estimates of solutions of an initial-boundary value problem for linear nonstationary system of the Navier-Stokes equations. Zap. nauchn. sem. LOMI, 1976, v. 59, p. 178–254 (in Russian)=Journ. Sov. Math. 1978, v. 10, p. 336–393.
V.A. Solonnikov, Estimates of solutions of a nonstationary linearized Navier-Stokes system of equations. Proc. Steklov Math. Inst. v. 70, 1964, p. 213–317. (in Russian).
O.A. Ladyzhenskaja, N.N. Uraltseva, Linear and quasilinear equations of elliptic type. Moscow, 1973 (in Russian).
I.Sh. Mogilevskij, V.A. Solonnikov, Solvability of a non-coercive initial-boundary value problem for the Stokes equation in Hölder spaces (the case of half-space). Zeitschrift für Analysis und ihre Anwendungen, 1989, Bd. 8, Hf. 4, p. 330–347 (in Russian).
O.A. Ladyzhenskaja, V.A. Solonnikov, N.N. Uraltseva, Linear and quasilinear equations of parabolic type. Moskow, 1967 (in Russian).
V.A. Solonnikov, Unsteady motion of a finite mass of fluid bounded by a free surface. Zap. nauchn.semin. LOMI, 1986, v. 152, p. 137–157, (in Russian)=Journ. Sov. Math., 1988, v. 40, N. 5, p.672–686.
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© 1992 Springer-Verlag
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Mogilevskii, I. (1992). Estimates in C 2l,l for solution of a boundary value problem for the nonstationary stokes system with a surface tension in boundary condition. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations II — Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090348
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DOI: https://doi.org/10.1007/BFb0090348
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