Abstract:
This paper gives an explicit description of the traces of functions in a weighted Sobolev space (with local Muckenhoupt weight) on the domain lying between two graphs of Lipschitz functions and on the complement of the closure of this domain.
Bibliography: 11 titles.
Citation:
A. I. Tyulenev, “Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains”, Sb. Math., 205:8 (2014), 1133–1159
\Bibitem{Tyu14}
\by A.~I.~Tyulenev
\paper Boundary values of functions in a~Sobolev space with Muckenhoupt weight on some non-Lipschitz domains
\jour Sb. Math.
\yr 2014
\vol 205
\issue 8
\pages 1133--1159
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Linking options:
https://www.mathnet.ru/eng/sm8311
https://doi.org/10.1070/SM2014v205n08ABEH004413
https://www.mathnet.ru/eng/sm/v205/i8/p67
This publication is cited in the following 5 articles:
Michael Frazier, “Decomposition and Traces of Weighted Mixed-Norm Besov Spaces”, La Matematica, 2024
Man Zi Huang, Xian Tao Wang, Zhuang Wang, Zhi Hao Xu, “Borderline Case of Traces and Extensions for Weighted Sobolev Spaces”, Acta. Math. Sin.-English Ser., 39:9 (2023), 1817
P. Koskela, T. Soto, Zh. Wang, “Traces of weighted function spaces: dyadic norms and Whitney extensions”, Sci. China Math., 60:11 (2017), 1981–2010
S. Dipierro, E. Valdinoci, “Continuity and density results for a one-phase nonlocal free boundary problem”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 34:6 (2017), 1387–1428
R. N. Dhara, A. Kałamajska, “On proper formulation of boundary condition for degenerated PDEs when trace embedding theorems are missing and application to nonhomogeneous BVPs”, Complex Var. Elliptic Equ., 61:11 (2016), 1541–1553
Citation in format AMSBIB
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