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Title: On elliptic problems in domains with low dimensional boundaries
Authors: Vasilyev, V.
Chernova, O.
Kovalyova, I.
Kutaiba, Sh.
Keywords: mathematics
mathematical analysis
differential equations
pseudo-differential equations
elliptic systems
bondary value problems
Issue Date: 2021
Citation: On elliptic problems in domains with low dimensional boundaries / V. Vasilyev, O. Chernova, L. Kovalyova [et al.] // Journal of Physics: Conference Series. - 2021. - Vol. 1902. - Art. 012034. - Doi: 10.1088/1742-6596/1902/1/012034
Abstract: We study a solvability for some concrete boundary value problems in domains with a low dimensional boundary. Such boundaries are considered as a limit situation of a volume problem for which one or more parameters of a domain tend to their endpoint values. The solvability conditions in Sobolev{Slobodetskii spaces are given using the wave factorization concept for an alliptic symbol
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