A Trace Operator for Weighted Sobolev Spaces

Lucas Fresse () and Viorica V. Motreanu
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Lucas Fresse: Université de Lorraine, Institut Élie Cartan
Viorica V. Motreanu: Lycée Varoquaux

A chapter in Geometry and Non-Convex Optimization, 2025, pp 101-119 from Springer

Abstract: Abstract We study a generalization of weighted Sobolev spaces associated to two weights and two exponents. We first give a criterion for the existence of an extension operator beyond the domain to the whole space and deduce that smooth functions up to the boundary of the domain form a dense open subset. By relying on this property, we then show the existence of a trace operator.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-87057-6_5

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DOI: 10.1007/978-3-031-87057-6_5

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