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Absolute Continuity in Partial Differential Equations
School of Computer Science, The University of Nottingham Ningbo China, Ningbo, China.ORCID iD: 0000-0002-1879-0763
School of Computer Science, The University of Nottingham Ningbo China, Ningbo, China.
2015 (English)In: Real Analysis Exchange, ISSN 1930-1219, Vol. 40, no 1, 209-218 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
East Lansing, MI: Michigan State University Press, 2015. Vol. 40, no 1, 209-218 p.
Keyword [en]
Absolute continuity, Weak convergence, Rearrangements of functions, Measure preserving maps, Hamilton-Jacobi systems, Estimates
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hh:diva-29195OAI: oai:DiVA.org:hh-29195DiVA: diva2:846262
Note

Amin Farjudian's work on 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).

Available from: 2015-08-14 Created: 2015-08-14 Last updated: 2015-08-21Bibliographically approved

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