On Lebesgue points of entropy solutions to the eikonal equation
نویسندگان
چکیده
We consider entropy solutions to the eikonal equation $|\nabla u|=1$ in two-space dimensions. These are motivated by a class of variational problems and fail general have bounded variation. Nevertheless, they share several their fine properties with BV functions: we show particular that set non-Lebesgue points has at least one co-dimension.
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Article history: Received 19 November 2013 Received in revised form 22 June 2014 Accepted 6 November 2014 Available online 13 November 2014
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ژورنال
عنوان ژورنال: Proceedings
سال: 2023
ISSN: ['0890-1740']
DOI: https://doi.org/10.1017/prm.2023.50