On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form
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...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-06-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/portal/docs/F_2072129310/157_2_phys_mat_8.pdf |
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| _version_ | 1850038173829169152 |
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| author | M.M. Karchevsky R.R. Shagidullin |
| author_facet | M.M. Karchevsky R.R. Shagidullin |
| author_sort | M.M. Karchevsky |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d75d5197067e4df899f53fef5f964db6 |
| institution | DOAJ |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2015-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-d75d5197067e4df899f53fef5f964db62025-08-20T02:56:39ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982015-06-01157293103On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence FormM.M. Karchevsky0R.R. Shagidullin1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaSolvability 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.https://kpfu.ru/portal/docs/F_2072129310/157_2_phys_mat_8.pdfelliptic system of differential equationsdivergence formcoerciveness conditionsboundary value problemsolvability conditions |
| spellingShingle | M.M. Karchevsky R.R. Shagidullin On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form Учёные записки Казанского университета: Серия Физико-математические науки elliptic system of differential equations divergence form coerciveness conditions boundary value problem solvability conditions |
| title | On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form |
| title_full | On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form |
| title_fullStr | On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form |
| title_full_unstemmed | On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form |
| title_short | On Boundary Value Problems for Elliptic Systems of Second-Order Equations in Divergence Form |
| title_sort | on boundary value problems for elliptic systems of second order equations in divergence form |
| topic | elliptic system of differential equations divergence form coerciveness conditions boundary value problem solvability conditions |
| url | https://kpfu.ru/portal/docs/F_2072129310/157_2_phys_mat_8.pdf |
| work_keys_str_mv | AT mmkarchevsky onboundaryvalueproblemsforellipticsystemsofsecondorderequationsindivergenceform AT rrshagidullin onboundaryvalueproblemsforellipticsystemsofsecondorderequationsindivergenceform |