Geodesic
On boundary value problems for elliptic systems of second-order equations in divergence form
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 2, pp. 93-103

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Solvability conditions of various boundary value problems for elliptic systems of second-order equations in divergence form are adduced. The effect of domain shape on the solvability of nonclassical problems of rigid contact and normal load is investigated in details. Particular attention is paid to the systems of equations of the type of stationary equations of linear elasticity, as well as to the systems of piezoelectrics theory.
Keywords: elliptic system of differential equations, coerciveness conditions, boundary value problem, solvability conditions.
Mots-clés : divergence form 
@article{UZKU_2015_157_2_a7,
     author = {M. M. Karchevsky and R. R. Shagidullin},
     title = {On boundary value problems for elliptic systems of second-order equations in divergence form},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {93--103},
     publisher = {mathdoc},
     volume = {157},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_2_a7/}
}
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M. M. Karchevsky; R. R. Shagidullin. On boundary value problems for elliptic systems of second-order equations in divergence form. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 2, pp. 93-103. http://geodesic.mathdoc.fr/item/UZKU_2015_157_2_a7/