NDLI: A new approach to transport equations associated to a regular field : trace results and well-posedness .

Content Provider	Semantic Scholar
Author	Arlotti, Luisa Banasiak, Jacek Lods, Bertrand
Copyright Year	2009
Abstract	We generalize known results on transport equations associ ated to a Lipschitz field F on some subspace of R endowed with some general space measure μ. We provide a new definition of both the transport operator and the trace measu r s over the incoming and outgoing parts of∂Ω generalizing known results from [ 9, 16]. We also prove the well-posedness of some suitable boundary-value transport problems and describe i n full generality the generator of the transport semigroup with no-incoming boundary conditions .
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://hal.archives-ouvertes.fr/docs/00/35/58/19/PDF/part1new6revised.pdf
Alternate Webpage(s)	https://hal.archives-ouvertes.fr/hal-00110239/document
Alternate Webpage(s)	http://arxiv.org/pdf/math/0610808v5.pdf
Language	English
Access Restriction	Open
Subject Keyword	Well-posed problem Whole Earth 'Lectronic Link
Content Type	Text
Resource Type	Article

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