Alik M. Najafov, Ahmet Eroglu, "On Sobolev Spaces with Derivatives of Variable Order," WSEAS Transactions on Mathematics, vol. 24, pp. 743-749, 2025, DOI:10.37394/23206.2025.24.73
Alik M. Najafov, Ahmet Eroglu. On Sobolev Spaces with Derivatives of Variable Order.
WSEAS Transactions on Mathematics. 2025;24:743-749. 10.37394/23206.2025.24.73
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
On Sobolev Spaces with Derivatives of Variable Order
Authors: ,
Abstract: In this paper, Sobolev spaces with derivatives of variable order are studied, i.e., first, the norm of
this space is determined, after which, using the integral representation, the differential and differential-difference
properties of functions from the constructed space are studied.The obtained embedding theorems can be applied
to establish of Hòlder regularity of fractional partial differential equations.
Keywords:
Sobolev spaces, derivatives of variable order, weak derivatives of variable order in the sense of
Sobolev, integral representation, horn condition, embedding theorems
Pages: 743-749 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #73 DOI: 10.37394/23206.2025.24.73
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