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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/3465

Title: Traces, extensions, co-normal derivatives and solution regularity of elliptic systems with smooth and non-smooth coefficients
Authors: Mikhailov, SE
Keywords: Partial differential equation systems
Sobolev spaces
Classical, generalised and canonical co-normal derivatives
Weak BVP settings
Publication Date: 2009
Abstract: For functions from a Sobolev space, definitions of non-unique generalised and unique canonical co-normal derivative are considered, which are related to possible extensions of a partial differential operator and its right hand side from the domain, where they are prescribed, to the domain boundary, where they are not. Revision of the boundary value problem settings, which makes them insensitive to the co-normal derivative inherent non-uniqueness are given. Some new facts about trace operator estimates, Sobolev spaces characterisations, and solution regularity of PDEs with non-smooth coefficients are also presented.
URI: http://bura.brunel.ac.uk/handle/2438/3465
Appears in Collections:Mathematics
School of Information Systems, Computing and Mathematics Research Papers

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