$L_p$-estimates of solutions of a~linear problem arising in magnetohydrodynamics
Algebra i analiz, Tome 23 (2011) no. 1, pp. 232-254.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{AA_2011_23_1_a7,
     author = {V. A. Solonnikov},
     title = {$L_p$-estimates of solutions of a~linear problem arising in magnetohydrodynamics},
     journal = {Algebra i analiz},
     pages = {232--254},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2011_23_1_a7/}
}
TY  - JOUR
AU  - V. A. Solonnikov
TI  - $L_p$-estimates of solutions of a~linear problem arising in magnetohydrodynamics
JO  - Algebra i analiz
PY  - 2011
SP  - 232
EP  - 254
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2011_23_1_a7/
LA  - ru
ID  - AA_2011_23_1_a7
ER  - 
%0 Journal Article
%A V. A. Solonnikov
%T $L_p$-estimates of solutions of a~linear problem arising in magnetohydrodynamics
%J Algebra i analiz
%D 2011
%P 232-254
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2011_23_1_a7/
%G ru
%F AA_2011_23_1_a7
V. A. Solonnikov. $L_p$-estimates of solutions of a~linear problem arising in magnetohydrodynamics. Algebra i analiz, Tome 23 (2011) no. 1, pp. 232-254. http://geodesic.mathdoc.fr/item/AA_2011_23_1_a7/

[1] Ladyzhenskaya O. A., Solonnikov V. A., “Reshenie nekotorykh nestatsionarnykh zadach magnitnoi gidrodinamiki dlya vyazkoi neszhimaemoi zhidkosti”, Tr. Mat. in-ta AN SSSR, 59, 1960, 115–173 | MR

[2] Ladyzhenskaya O. A., Solonnikov V. A., “O printsipe linearizatsii i invariantnykh mnogoobraziyakh dlya zadach magnitnoi gidrodinamiki”, Zap. nauch. semin. LOMI, 38, 1973, 46–93 | MR | Zbl

[3] Ströhmer G., “About an initial-boundary value problem from magnetohydrodynamics”, Math. Z., 209 (1992), 345–362 | DOI | MR

[4] Ströhmer G., “About the equations of non-stationary magnetohydrodynamics”, Nonlinear Anal., 52 (2003), 1249–1273 | DOI | MR

[5] Mosconi S. J. N., Solonnikov V. A., “On a problem of magnetohydrodynamics in a multi-connected domain”, Nonlinear Analysis, (submitted)

[6] Golovkin K. K., “Ob ekvivalentnykh normirovkakh drobnykh prostranstv”, Tr. Mat. in-ta AN SSSR, 66, 1962, 364–383 | MR | Zbl

[7] Solonnikov V. A., “Ob otsenkakh reshenii nestatsionarnoi zadachi Stoksa v anizotropnykh prostranstvakh S. L. Soboleva i ob otsenkakh rezolventy operatora Stoksa”, Uspekhi mat. nauk, 58:2 (2003), 123–156 | MR | Zbl

[8] Solonnikov V. A., “O razreshimosti vtoroi nachalno-kraevoi zadachi dlya lineinoi nestatsionarnoi sistemy uravnenii Nave–Stoksa”, Zap. nauch. semin. LOMI, 69, 1977, 200–218 | MR | Zbl

[9] Bykhovskii E. B., Smirnov N. V., “Ob ortogonalnom razlozhenii prostranstva vektor-funktsii, kvadratichno summiruemykh po zadannoi oblasti, i operatorakh vektornogo analiza”, Tr. Mat. in-ta AN SSSR, 59, 1960, 5–36 | MR | Zbl

[10] Padula M., Solonnikov V. A., “On the free boundary problem of magnetohydrodynamics”, Zap. nauch. semin. POMI (to appear)

[11] Bogovskii M. E., “Reshenie nekotorykh zadach vektornogo analiza, svyazannykh s operatorami $\mathrm{div}$ i $\mathrm{grad}$”, Tr. semin. S. L. Soboleva, 1, 1980, 5–40 | MR