Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary
| dc.contributor.author | Kozlov, Vladimir | |
| dc.date.accessioned | 2021-07-14T17:26:13Z | |
| dc.date.available | 2021-07-14T17:26:13Z | |
| dc.date.issued | 2006-01-24 | |
| dc.description.abstract | We consider variational solutions to the Dirichlet problem for elliptic systems of arbitrary order. It is assumed that the coefficients of the principal part of the system have small, in an integral sense, local oscillations near a boundary point and other coefficients may have singularities at this point. We obtain an asymptotic representation for these solutions and derive sharp estimates for them which explicitly contain information on the coefficients. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 46 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kozlov, V. (2006). Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary. <i>Electronic Journal of Differential Equations, 2006</i>(10), pp. 1-46. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13883 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Asymptotic behaviour of solutions | |
| dc.subject | Elliptic systems | |
| dc.subject | Dirichlet problem | |
| dc.subject | Measurable coefficients | |
| dc.title | Asymptotic representation of solutions to the Dirichlet problem for elliptic systems with discontinuous coefficients near the boundary | en_US |
| dc.type | Article |