|
This article is cited in 1 scientific paper (total in 1 paper)
Contact of a free boundary with a fixed boundary
N. N. Ural'tseva Saint-Petersburg State University
Abstract:
For a simple elliptic obstacle problem the behaviour of the free boundary is studied near its points of contact with the fixed boundary of the domain. An earlier result of the author on the $C^1$-regularity of the boundary $\partial\mathscr N$ of the non-coincidence set is refined. It is shown that the previously imposed Lipschitz condition on $\partial\mathscr N$ can be dispensed with.
Received: 28.10.1998
Citation:
N. N. Ural'tseva, “Contact of a free boundary with a fixed boundary”, Mat. Sb., 191:2 (2000), 165–173; Sb. Math., 191:2 (2000), 307–315
Linking options:
https://www.mathnet.ru/eng/sm457https://doi.org/10.1070/sm2000v191n02ABEH000457 https://www.mathnet.ru/eng/sm/v191/i2/p165
|
Statistics & downloads: |
Abstract page: | 443 | Russian version PDF: | 242 | English version PDF: | 17 | References: | 54 | First page: | 3 |
|