Elliptic problems with rough boundary data in generalized Sobolev spaces
نویسندگان
چکیده
We investigate regular elliptic boundary-value problems in boun\-ded domains and show the Fredholm property for related operators an extended scale formed by inner product Sobolev spaces (of arbitrary real orders) corresponding interpolation Hilbert spaces. In particular, we can deal with boundary data low regularity. addition, properties scale, embedding results, global local a priori estimates solutions to under investigation. The results are applied homogeneous right-hand side rough Nikolskii spaces, which allows us treat some cases of white noise on boundary.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2021
ISSN: ['1534-0392', '1553-5258']
DOI: https://doi.org/10.3934/cpaa.2020286