Compactness theorems for problems with unknown boundary
نویسندگان
چکیده
The compactness theorem is proved for sequences of functions that have estimates the higher derivatives in each subdomain domain definition, divided into parts by a sequence some curves class W_2^1. At same time, entire determining summable derivatives, these do not have. These results allow us to make limit transitions using approximate solutions problems with an unknown boundary describe processes phase transitions.
منابع مشابه
Compactness Theorems for Riemannian Manifolds with Boundary and Applications
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ژورنال
عنوان ژورنال: Dal?nevosto?nyj matemati?eskij žurnal
سال: 2021
ISSN: ['1608-845X']
DOI: https://doi.org/10.47910/femj202109