The estimates of the solution of the dirichlet problem with boundary function from Lp for a second-order elliptic equation
| Autor: | Anatolii K Gushchin |
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| Jazyk: | English<br />Russian |
| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 15, Iss 1, Pp 53-67 (2011) |
| Druh dokumentu: | article |
| ISSN: | 1991-8615 2310-7081 |
| Popis: | We study the solvability of the Dirichlet problem for a second-order elliptic equation with measurable and bounded coefficients. Assuming that coefficients of equation are Dini-continued on the boundary, it is established that there is the unique solution of the Dirichlet problem with boundary function from $L_p$, $p > 1$. We prove the estimate of the analogue of area integral. |
| Databáze: | Directory of Open Access Journals |
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