@article{ASNSP_1997_4_25_1-2_51_0, author = {Arkhipova, Arina and Ladyzhenskaya, Olga}, title = {On inhomogeneous incompressible fluids and reverse {H\"older} inequalities}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {51--67}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 25}, number = {1-2}, year = {1997}, mrnumber = {1655509}, zbl = {1007.35082}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1997_4_25_1-2_51_0/} }
TY - JOUR AU - Arkhipova, Arina AU - Ladyzhenskaya, Olga TI - On inhomogeneous incompressible fluids and reverse Hölder inequalities JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1997 SP - 51 EP - 67 VL - 25 IS - 1-2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1997_4_25_1-2_51_0/ LA - en ID - ASNSP_1997_4_25_1-2_51_0 ER -
%0 Journal Article %A Arkhipova, Arina %A Ladyzhenskaya, Olga %T On inhomogeneous incompressible fluids and reverse Hölder inequalities %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1997 %P 51-67 %V 25 %N 1-2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1997_4_25_1-2_51_0/ %G en %F ASNSP_1997_4_25_1-2_51_0
Arkhipova, Arina; Ladyzhenskaya, Olga. On inhomogeneous incompressible fluids and reverse Hölder inequalities. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 25 (1997) no. 1-2, pp. 51-67. http://archive.numdam.org/item/ASNSP_1997_4_25_1-2_51_0/
[1] On unique solvability of initial-boundary value problem for viscous incompressible nonhomogeneous fluids, Zapiski Nauchn. Semin. LOMI 52 (1975), 52-109. | MR | Zbl
- ,[2] On existence and uniqueness of the solution of the nonstationary problemfor a viscous incompressible fluids, Izv. Akad. Nauk USSR, Ser. Mat. 21 (1957), 655-680. | MR | Zbl
- ,[3] Solution "in the large" of the boundary value problem for the Navier-Stokes equations for the case of two space variables, Dokl. Akad. Nauk USSR 123 (1958), 427-433. | Zbl
,[4] Mathematical Problems of the Dynamics for Viscous Incompressible Fluids", Moscow, 1961 (the first Russian edition); Moscow 1970 (the second Russian edition). English translation of the first Russian Edition: "The Mathematical Theory of Viscous Incompressible Flow", Gordon and Breach, 1963.
, "[5] On differential properties for the nonstationary Navier-Stokes equations, Trudy MIAN USSR 73 (1964), 221-291. | MR | Zbl
,[6] Linear and Quasilinear Equations of the Parabolic Type", Moscow, Nauka, 1967. | Zbl
- - , "[7] Linear and Quasilinear Equations of the Elliptic Type", Moscow, 1973 (the second Russian edition). | MR | Zbl
- , "[8] Lp-integrability of the partial derivatives of a quasi-conformal mapping, Acta Math. 130 (1973), 265-277. | MR | Zbl
,[9] Regularity results for some classes of higher order nonlinear elliptic systems, J. Reine Angew. Math. 311/312 (1979), 145-169. | MR | Zbl
- ,[10] Higher integrability from reverse Hölder inequalities, Indiana Univ. Math. J. 29 (1980), 408-417. | MR | Zbl
,[11] On the partial regularity of weak solutions of nonlinear parabolic systems, Math. Z. 179 (1982), 437-451. | MR | Zbl
- ,[12] Reverse Hölder inequalities with boundary integrals and Lp-estimates for solutions of nonlinear elliptic and parabolic boundary-value problems, Amer. Math. Soc. Transl. 164 (1995), 15-42. | MR | Zbl
,