Coercive lp-estimates for solutions to the initial-boundary- value problem for the generalized stokes equations in a half-space

Journal of Mathematical Sciences

Volumn 102, Issue 5, 2000, Pages 4523-4543

  Solonnikov, V A ^a  

^a Problemy Matematicheskogo Analiza ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042605819     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02672904     Document Type: Article

References (6)

1. O. A. Ladyzhenskaya and G. A. Seregin, "Coercive estimates for solutions to linearizations of modified Navie-Stokes equations, " Russian Acad. Sci. Dokl. Math., 370, No. 6, 738-740 (2000).
2. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Uraltseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc. Providence, RI (1968).
3. V. A. Solonnikov, "Estimates for solutions to nonstationary linearized Navie-Stokes equations, " Tr. Mat. Inst. Steklova, 70, 213-317 (1964).
4. V. A. Solonnikov, "Initial-boundary-value problem for a generalized Stokes equations in a half-space, " Zap. Nauchn. Semin. POMI [to appear].
5. K. K. Golovkin, "On some smoothness conditions for functions of several variables and on estimates for the convolution operators, " Dokl. Akad. Nauk SSSR, 139, 524-527 (1961).
6. K. K. Golovkin, "On equivalent normalizations of fractional spaces, " Tr. Mat. Inst. Steklova, 66, 364-383 (1962).