Absolute continuity in partial differential equations

Farjudian, Amin and Emamizadeh, Behrouz (2015) Absolute continuity in partial differential equations. Real Analysis Exchange, 40 (1). pp. 209-218. ISSN 0147-1937

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In this note we study a function which frequently appears in partial differential equations. We prove that this function is absolutely continuous, hence it can be written as a definite integral. As a result we obtain some estimates regarding solutions of the Hamilton-Jacobi systems.

Item Type: Article
Additional Information: This article has been partially supported by the Natural Science Foundation of China (Grant No. 61070023) and Ningbo Natural Science Programme by Ningbo S&T bureau (Grant No. 2010A610104).
Keywords: Absolute continuity; Weak convergence; Rearrangements of functions; Measure preserving maps; Hamilton-Jacobi systems
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > School of Computer Science
University of Nottingham Ningbo China > Faculty of Science and Engineering > School of Mathematical Sciences
Identification Number: https://doi.org/10.14321/realanalexch.40.1.0209
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Depositing User: Yu, Tiffany
Date Deposited: 28 Feb 2019 09:23
Last Modified: 10 Oct 2019 10:01
URI: https://eprints.nottingham.ac.uk/id/eprint/56195

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