Geodesic
On invertibility of linear partial differential operators in Hölder and Sobolev spaces
Sbornik. Mathematics, Tome 194 (2003) no. 5, pp. 733-744 Cet article a éte moissonné depuis la source Math-Net.Ru

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This is a study of the simultaneous invertibility of linear differential operators with almost periodic coefficients acting in Hölder and Sobolev spaces of vector-valued functions and in certain other function spaces. 
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     author = {O. A. Mitina and V. M. Tyurin},
     title = {On invertibility of linear partial differential operators {in~H\"older} and {Sobolev} spaces},
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}
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O. A. Mitina; V. M. Tyurin. On invertibility of linear partial differential operators in Hölder and Sobolev spaces. Sbornik. Mathematics, Tome 194 (2003) no. 5, pp. 733-744. http://geodesic.mathdoc.fr/item/SM_2003_194_5_a3/

[1] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1988 | MR

[2] Shubin M. A., “Teoremy o sovpadenii spektrov psevdodifferentsialnogo pochti periodicheskogo operatora v prostranstvakh $L^2(\mathbb R^n)$ i $B^2(\mathbb R^n)$”, Sib. matem. zhurn., 17:1 (1976), 200–215 | MR | Zbl

[3] Favard J., “Sur les equations differentielles a coefficients presque-periodiques”, Acta Math., 51 (1927), 31–81 | DOI | MR | Zbl

[4] Mukhamadiev E. M., “Ob obratimosti differentsialnykh operatorov v prostranstve nepreryvnykh i ogranichennykh na osi funktsii”, Dokl. AN SSSR, 196:1 (1971), 47–49 | MR | Zbl

[5] Zhikov V. V., “Nekotorye novye rezultaty v abstraktnoi teorii Favara”, Matem. zametki, 17:1 (1975), 33–40 | MR | Zbl

[6] Zhikov V. V., Levitan B. M., “Teoriya Favara”, UMN, 32:2 (1977), 123–171 | MR | Zbl

[7] Zhikov V. V., Levitan B. M., Pochti periodicheskie funktsii i differentsialnye uravneniya, Izd-vo MGU, M., 1978 | MR | Zbl

[8] Mukhamadiev E. M., “Ob obratimosti differentsialnykh operatorov v chastnykh proizvodnykh ellipticheskogo tipa”, Dokl. AN SSSR, 205:6 (1972), 1292–1295 | MR | Zbl

[9] Zhikov V. V., “Nekotorye voprosy dopustimosti i dikhotomii. Printsip usredneniya”, Izv. AN SSSR, 40:6 (1976), 1380–1408 | MR | Zbl

[10] Smirnova V. I., Kurs vysshei matematiki, 5, GIFML, M., 1959

[11] Tyurin V. M., “O nekotorykh koertsitivnykh neravenstvakh dlya lineinykh differentsialnykh operatorov s chastnymi proizvodnymi”, Sib. matem. zhurn., 39:3 (1998), 650–659 | MR | Zbl

[12] Tyurin V. M., “K obratimosti lineinykh differentsialnykh operatorov s chastnymi proizvodnymi v nekotorykh prostranstvakh funktsii na $\mathbb R^n$”, Differents. uravneniya, 33:10 (1997), 1419–1425 | MR | Zbl