Estimates for solutions of the nonstationary Stokes problem in anisotropic sobolev spaces with mixed norm

Journal of Mathematical Sciences

Volumn 87, Issue 5, 1997, Pages 3859-3877

  Maremonti, P ^a   Solonnikov, V A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041603872     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02355828     Document Type: Article

References (11)

1. V. A. Solonnikov, "Estimates of solutions for the nonstationary linearized system of Navier-Stokes equations," Trudy Mat. Inst. Akad. Nauk SSSR, 70, 213-317 (1964).
2. V. A. Solonnikov, "Estimates for solutions of the nonstationary Navier-Stokes equations," Zap. Nauchn. Semin. LOMI, 38, 153-231 (1973).
3. V. I. Yudovich, Method of Linearization in Hydrodynamical Stability Theory [in Russian], Rostov. Univ. (1984).
4. p-estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains," J. Funct. Anal., 102, 72-94 (1991).
5. V. A. Solonnikov, "A-priori estimates for second order equations of parabolic type," Trudy Mat. Inst. Akad. Nauk SSSR, 70, 133-212 (1964).
6. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Uraltseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Moscow (1967).
7. O. V. Besov, V. P. Il'in, and S. N. Nikol'skii, Integral Representations of Functions and Embedding Theorems [in Russian], Moscow (1975).
8. K. K. Golovkin, "On equivalent normalizations of fractional spaces," Trudy Mat. Inst. Akad. Nauk SSSR, 66, 364-383 (1962).
9. Ja. S. Bugrov, "Embedding theorems for classes of functions with a mixed norm," Mat. Sb., 92, 611-621 (1973).
10. q spaces," Math. Ann., 295, 265-288 (1989).
11. P. Maremonti and V. A. Solonnikov, "On the nonstationary Stokes problem in exterior domains" (to appear).