Geodesic
On some conditions for the solvability of overdetermined systems of differential equations in Sobolev spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2005), pp. 70-80.

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

@article{IVM_2005_4_a8,
     author = {A. A. Shlapunov},
     title = {On some conditions for the solvability of overdetermined systems of differential equations in {Sobolev} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {70--80},
     publisher = {mathdoc},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2005_4_a8/}
}
TY  - JOUR
AU  - A. A. Shlapunov
TI  - On some conditions for the solvability of overdetermined systems of differential equations in Sobolev spaces
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2005
SP  - 70
EP  - 80
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2005_4_a8/
LA  - ru
ID  - IVM_2005_4_a8
ER  - 
%0 Journal Article
%A A. A. Shlapunov
%T On some conditions for the solvability of overdetermined systems of differential equations in Sobolev spaces
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2005
%P 70-80
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2005_4_a8/
%G ru
%F IVM_2005_4_a8
A. A. Shlapunov. On some conditions for the solvability of overdetermined systems of differential equations in Sobolev spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2005), pp. 70-80. http://geodesic.mathdoc.fr/item/IVM_2005_4_a8/

[1] Tarkhanov N.N., Metod parametriksa v teorii differentsialnykh kompleksov, Nauka, Novosibirsk, 1990, 248 pp. | MR

[2] Nacinovich M., Shlapunov A.A., “On iterations of Green's integrals and their applications to elliptic complexes”, Mathem. Nach., 180 (1996), 243–284 | MR | Zbl

[3] Shlapunov A.A., “Ob odnom uslovii razreshimosti sistem s in'ektivnym simvolom v terminakh iteratsii potentsialov dvoinogo sloya”, Sib. matem. zhurn., 42:4 (2001), 952–963 | MR | Zbl

[4] Romanov A.V., “Skhodimost iteratsii operatora Martinelli–Bokhnera i uravnenie Koshi–Rimana”, DAN SSSR, 242:4 (1978), 780–783 | MR | Zbl

[5] Vishik M.I., “O strogo ellipticheskikh sistemakh differentsialnykh uravnenii”, Matem. sb., 29:3 (1951), 615–676 | Zbl

[6] Schulze B.-W., Shlapunov A.A., Tarkhanov N.N., “Green integrals on manifolds with cracks”, Annals of Global Analysis and Geometry, 24 (2003), 131–160 | DOI | MR | Zbl

[7] Tarkhanov N.N., The Cauchy problem for solutions of elliptic equations, Akademie-Verlag, Berlin, 1995, 478 pp. | MR | Zbl

[8] Egorov Yu.V., Shubin M.A., Lineinye differentsialnye uravneniya s chastnymi proizvodnymi. Osnovy klassicheskoi teorii, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 30, VINITI, M., 1988, 264 pp.

[9] Tarkhanov N.N., Ryad Lorana dlya reshenii ellipticheskikh sistem, Nauka, Novosibirsk, 1991, 318 pp. | MR | Zbl

[10] Sobolev S.L., Vvedenie v teoriyu kubaturnykh formul, Nauka, M., 1974, 808 pp. | MR

[11] Kytmanov A.M., Integral Bokhnera–Martinelli i ego prilozheniya, Nauka, Novosibirsk, 1992, 240 pp.

[12] Kytmanov A.M., The Martinelli–Bochner integral and its applications, Birkhäuser Verlag, Berlin, 1995, 305 pp. | MR | Zbl

[13] Shlapunov A.A., “Spectral decomposition of Green's integrals and existence of $W^{s,2}$-solutions of matrix factorizations of the Laplace operator in a ball”, Rend. Sem. Mat. Univ. Padova, 96 (1996), 237–256 | MR | Zbl