RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2003, Volume 306, Pages 7–15 (Mi znsl858)

To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee
I. V. Denisova, O. A. Ladyzhenskaya, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova

References

1. V. A. Solonnikov, “O lineinykh differentsialnykh uravneniyakh s malym parametrom pri starshikh proizvodnykh”, DAN, 119:3 (1958), 454–457  mathnet  mathscinet  zmath
2. K. K. Golovkin, V. A. Solonnikov, “Otsenki integralnykh operatorov v translyatsionno-invariantnykh normakh”, Trudy MIAN, 70, 1964, 47–58  mathnet  mathscinet  zmath
3. V. A. Solonnikov, “O kraevykh zadachakh dlya obschikh lineinykh parabolicheskikh sistem”, DAN SSSR, 157:1 (1964), 56–59  mathnet  mathscinet  zmath
4. V. A. Solonnikov, “Apriornye otsenki dlya uravnenii vtorogo poryadka parabolicheskogo tipa”, Trudy MIAN, 70, 1964, 133–212  mathnet  mathscinet  zmath
5. V. A. Solonnikov, “O kraevykh zadachakh dlya lineinykh parabolicheskikh sistem differentsialnykh uravnenii obschego vida”, Trudy MIAN, 83, 1965, 3–163  mathnet  mathnet  mathscinet
6. O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967  mathscinet  zmath
7. V. A. Solonnikov, “Otsenki reshenii nestatsionarnoi linearizovannoi sistemy uravnenii Nave–Stoksa”, Trudy MIAN, 70, 1964, 213–317  mathnet  mathscinet  zmath
8. V. A. Solonnikov, “O differentsialnykh svoistvakh reshenii pervoi kraevoi zadachi dlya nestatsionarnoi sistemy uravnenii Nave–Stoksa”, Trudy MIAN, 73, 1964, 221–291  mathnet  mathscinet  zmath
9. V. A. Solonnikov, “Otsenki reshenii nestatsionarnoi sistemy Nave–Stoksa”, Zap. nauchn. semin. LOMI, 38, 1973, 153–231  mathnet  mathscinet  zmath
10. V. A. Solonnikov, “Otsenki reshenii uravnenii Stoksa v prostranstvakh S. L. Soboleva so smeshannoi normoi”, Zap. nauchn. semin. POMI, 288, 2002, 204–231  mathnet  zmath
11. O. A. Ladyzhenskaya, V. A. Solonnikov, “Ob odnoznachnoi razreshimosti nachalno-kraevoi zadachi dlya vyazkikh neszhimaemykh neodnorodnykh zhidkostei”, Zap. nauchn. semin. LOMI, 52, 1975, 52–109  mathnet  zmath
12. O. A. Ladyzhenskaya, V. A. Solonnikov, “O printsipe linearizatsii i invariantnykh mnogoobraziyakh dlya zadach magnitnoi gidrodinamiki”, Zap. nauchn. semin. LOMI, 38, 1973, 46–93  mathnet  zmath
13. O. A. Ladyzhenskaya, V. A. Solonnikov, “O razreshimosti kraevykh i nachalno-kraevykh zadach dlya uravnenii Nave–Stoksa v oblastyakh s nekompaktnymi granitsami”, Vestnik LGU, 13:3 (1977), 39–47  zmath
14. O. A. Ladyzhenskaya, V. A. Solonnikov, “O nekotorykh zadachakh vektornogo analiza i obobschennykh postanovkakh kraevykh zadach dlya uravnenii Nave–Stoksa”, Zap. nauchn. semin. LOMI, 59, 1976, 81–116  mathnet  zmath
15. O. A. Ladyzhenskaya, V. A. Solonnikov, “O nakhozhdenii reshenii kraevykh zadach dlya statsionarnykh uravnenii Stoksa i Nave–Stoksa, imeyuschikh neogranichennyi integral Dirikhle”, Zap. nauchn. semin. LOMI, 96, 1980, 117–160  mathnet  mathscinet  zmath
16. L. V. Kapitanskii, K. I. Piletskas, “O prostranstvakh solenoidalnykh vektornykh polei i kraevykh zadachakh dlya uravnenii Nave–Stoksa v oblastyakh s nekompaktnymi granitsami”, Trudy MIAN, 159, 1983, 5–36  mathnet  mathscinet  zmath
17. V. A. Solonnikov, K. I. Piletskas, “O nekotorykh prostranstvakh solenoidalnykh vektorov i o razreshimosti kraevoi zadachi dlya sistemy uravnenii Nave–Stoksa v oblastyakh s nekompaktnymi granitsami”, Zap. nauchn. semin. LOMI, 73, 1977, 136–151  mathnet  mathscinet  zmath
18. V. A. Solonnikov, “O zadachakh gidrodinamiki vyazkoi neszhimaemoi zhidkosti v oblastyakh s nekompaktnymi granitsami”, Algebra i analiz, 4:6 (1992), 28–53  mathnet  mathscinet  zmath
19. V. A. Solonnikov, V. E. Schadilov, “Ob odnoi kraevoi zadache dlya statsionarnoi sistemy uravnenii Nave–Stoksa”, Trudy MIAN, 125, 1973, 196–210  mathnet  mathscinet  zmath
20. V. A. Solonnikov, “Razreshimost zadachi o ploskom dvizhenii tyazheloi vyazkoi neszhimaemoi kapillyarnoi zhidkosti, chastichno zapolnyayuschei nekotoryi sosud”, Izv. AN SSSR, ser. matem., 43 (1979), 203–236  mathnet  mathscinet  zmath
21. V. A. Solonnikov, “Razreshimost trekhmernoi zadachi so svobodnoi granitsei dlya statsionarnoi sistemy uravnenii Nave–Stoksa”, Zap. nauchn. semin. LOMI, 84, 1979, 252–285  mathnet  mathscinet  zmath
22. V. Zaionchkovskii, V. A. Solonnikov, “O zadache Neimana dlya ellipticheskikh uravnenii vtorogo poryadka v oblastyakh s rebrami na granitse”, Zap. nauchn. semin. LOMI, 127, 1983, 7–48  mathnet  mathscinet
23. V. A. Solonnikov, “O razreshimosti klassicheskikh nachalno-kraevykh zadach dlya uravneniya teploprovodnosti v dvugrannom ugle”, Zap. nauchn. semin. LOMI, 138, 1984, 146–180  mathnet  mathscinet  zmath
24. V. A. Solonnikov, E. V. Frolova, “Ob odnoi nestatsionarnoi zadache v dvugrannom ugle, II”, Zap. nauchn. semin. LOMI, 188, 1991, 178–185  mathnet  mathscinet
25. G. I. Bizhanova, V. A. Solonnikov, “O razreshimosti nachalno-kraevoi zadachi dlya parabolicheskogo uravneniya vtorogo poryadka s proizvodnoi po vremeni v granichnom uslovii v vesovom gelderovskom prostranstve funktsii”, Algebra i analiz, 5 (1993), 109–142  mathnet  mathscinet  zmath
26. G. I. Bizhanova, V. A. Solonnikov, “Zadachi so svobodnymi granitsami dlya parabolicheskikh uravnenii vtorogo poryadka”, Algebra i analiz, 12:6 (2000), 98–139  mathnet  mathscinet
27. V. A. Solonnikov, E. V. Frolova, “$L_p$-teoriya dlya zadachi Stefana”, Zap. nauchn. semin. POMI, 243, 1997, 299–323  mathnet  mathscinet  zmath
28. V. A. Solonnikov, “Razreshimost zadachi ob evolyutsii izolirovannogo ob'ema vyazkoi neszhimaemoi kapillyarnoi zhidkosti”, Zap. nauchn. semin. LOMI, 140, 1984, 179–186  mathnet  mathscinet  zmath
29. V. A. Solonnikov, “Ob odnoi nachalno-kraevoi zadache dlya sistemy Stoksa, voznikayuschei pri izuchenii zadachi so svobodnoi granitsei”, Trudy MIAN SSSR, 188, 1990, 150–188  mathnet  mathscinet
30. V. A. Solonnikov, “Razreshimost zadachi ob evolyutsii vyazkoi neszhimaemoi zhidkosti, ogranichennoi svobodnoi poverkhnostyu, na konechnom intervale vremeni”, Algebra i analiz, 3:1 (1991), 222–257  mathnet  mathscinet  zmath
31. I. Sh. Mogilevskii, V. A. Solonnikov, “Razreshimost odnoi nekoertsitivnoi nachalno-kraevoi zadachi dlya sistemy Stoksa v gelderovskikh klassakh funktsii”, Z. Anal. Anwendungen, 8:4 (1989), 329–347  mathscinet  zmath
32. I. Sh. Mogilevskiĭ, V. A. Solonnikov, “On the solvability of an evolution free boundary problem for the Navier–Stokes equations in Hölder spaces of functions”, Mathematical Problems Relating to the Navier–Stokes Equations, Advances in Math. Appl. Sci., 11, ed. G. P. Galdi, World Sci. Publ., 1992, 105–181  mathscinet  zmath
33. V. A. Solonnikov, “Otsenki resheniya vtoroi nachalno-kraevoi zadachi dlya sistemy Stoksa v prostranstvakh funktsii s nepreryvnymi po Gëlderu proizvodnymi po prostranstvennym peremennym”, Zap. nauchn. semin., 259, 1999, 254–279  mathnet  zmath
34. V. A. Solonnikov, “On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop”, Interfaces and Free Bundaries, 1:2 (1999), 125–173  crossref  mathscinet  zmath
35. I. V. Denisova, V. A. Solonnikov, “Klassicheskaya razreshimost modelnoi zadachi v poluprostranstve, svyazannoi s dvizheniem izolirovannoi massy szhimaemoi zhidkosti”, Zap. nauchn. semin. LOMI, 271, 2000, 92–113  mathnet  mathscinet  zmath
36. I. V. Denisova, V. A. Solonnikov, “Klassicheskaya razreshimost zadachi o dvizhenii izolirovannoi massy szhimaemoi zhidkosti”, Algebra i analiz, 14:1 (2002), 71–98  mathnet  mathscinet  zmath
37. V. A. Solonnikov, “O neustanovivshemsya dvizhenii konechnoi izolirovannoi massy samogravitiruyuschei zhidkosti”, Algebra i analiz, 1:1 (1989), 207–249  mathnet  mathscinet  zmath
38. V. A. Solonnikov, “Evolution free boundary problem for equations of motion of viscous compressible barotropic self-gravitating fluid”, SAACM, 3:4 (1993), 257–275  mathscinet
39. V. A. Solonnikov, “Otsenka obobschennoi energii v zadache so svobodnoi granitsei dlya vyazkoi neszhimaemoi zhidkosti”, Zap. nauchn. semin. POMI, 282, 2001, 216–243  mathnet  mathscinet  zmath
40. V. A. Solonnikov, “Ob ustoichivosti osesimmetricheskikh figur ravnovesiya vraschayuscheisya vyazkoi neszhimaemoi zhidkosti”, Algebra i analiz, 16:2 (2004), 120–153  mathnet  mathscinet  zmath
41. V. A. Solonnikov, “Lectures on Evolution Free Boundary Problems: Classical Solutions”, Math. Aspects of Evolving Interfaces, Lecture Notes in Maths., 1812, Springer, 2003, 123–175  mathscinet  zmath
42. V. A. Solonnikov, N. N. Uraltseva, Izbrannye glavy analiza i vysshei algebry, Izd-vo LGU, 1981


© Steklov Math. Inst. of RAS, 2025