Vector Fields with Continuous Curl but Discontinuous Partial Derivatives

Autor:	Adam Coffman, Yuan Zhang
Rok vydání:	2020
Předmět:	Curl (mathematics) General Mathematics 010102 general mathematics Mathematical analysis Partial derivative Vector field Differentiable function 0101 mathematics 01 natural sciences Mathematics
Zdroj:	The American Mathematical Monthly. 127:911-917
ISSN:	1930-0972 0002-9890
DOI:	10.1080/00029890.2020.1815476
Popis:	Motivated by strong versions of Green’s theorem, we give an example of a differentiable vector field for which the curl is continuous but not all the partial derivatives are continuous.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9d5bcd4a01c9c5bbcf6b82ee2e0ed2df https://doi.org/10.1080/00029890.2020.1815476 Zobrazit plný text záznamu