Elliptic problems in the sense of B. Lawruk on two-sided refined scales of spaces
| Autor: | Chepurukhina, Iryna S., Murach, Aleksandr A. |
|---|---|
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Methods Funct. Anal. Topology 21 (2015), no. 1, 6-21 |
| Druh dokumentu: | Working Paper |
| Popis: | We investigate elliptic boundary-value problems with additional unknown functions on the boundary of a Euclidean domain. These problems were introduced by Lawruk. We prove that the operator corresponding to such a problem is bounded and Fredholm on two-sided refined scales built on the base of the isotropic H\"ormander inner product spaces. The regularity of the distributions forming these spaces are characterized by a real number and an arbitrary function that varies slowly at infinity in the sense of Karamata. For the generalized solutions to the problem, we prove theorems on a priori estimates and local regularity in these scales. As applications, we find new sufficient conditions under which the solutions have continuous classical derivatives of a prescribed order. Comment: 19 pages, some misprints are corrected. arXiv admin note: substantial text overlap with arXiv:1503.05039 |
| Databáze: | arXiv |
| Externí odkaz: |
|