A Remark on the Characterization of the Gradient of a Distribution
Abstract
It is shown in this paper that a scalar test function in Rn is the divergence of a vector valued test function if and if its integral over the domain vanishes. using this result, we are able to give an elementary proof of the characterization of the gradient of a distribution. Also an application on characterization of the curl of a distribution in R2 is presented. © 1993, Taylor & Francis Group, LLC. All rights reserved.
Recommended Citation
X. Wang, "A Remark on the Characterization of the Gradient of a Distribution," Applicable Analysis, vol. 51, no. 1-4, pp. 35 - 40, Taylor and Francis Group; Taylor and Francis, Dec 1993.
The definitive version is available at https://doi.org/10.1080/00036819308840202
Department(s)
Mathematics and Statistics
Keywords and Phrases
Distribution; Test Function
International Standard Serial Number (ISSN)
1563-504X; 0003-6811
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Taylor and Francis Group; Taylor and Francis, All rights reserved.
Publication Date
01 Dec 1993
