The Gauss-Green theorem for bounded vector fields with divergence measure on sets of finite perimeter

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00570780" target="_blank" >RIV/67985840:_____/23:00570780 - isvavai.cz</a>
Result on the web
<a href="https://dx.doi.org/10.1512/iumj.2023.72.9407" target="_blank" >https://dx.doi.org/10.1512/iumj.2023.72.9407</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1512/iumj.2023.72.9407" target="_blank" >10.1512/iumj.2023.72.9407</a>

Result language
angličtina
Original language name
The Gauss-Green theorem for bounded vector fields with divergence measure on sets of finite perimeter
Original language description
A bounded divergence measure field is a bounded measurable function q = (q1, . . ., qn) on Rn whose weak divergence is a finite signed measure. The Gauss-Green theorem for this class of fields on sets of finite perimeter was established independently by Chen & Torres and the present author in 2005. To emphasize the essentially simple nature of this result, the original proof is here outlined, with some amendments. In addition, future developments are briefly recapitulated together with some remarks on the later proof by Chen, Torres, & Ziemer.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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