@article{07d3e8445ee54b5294a31d0a8c342dae,
title = "Absolute continuity in partial differential equations",
abstract = "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.",
keywords = "Absolute continuity, Hamilton-Jacobi systems, Measure preserving maps, Rearrangements of functions, Weak convergence, Absolute continuity, Hamilton-Jacobi systems, Measure preserving maps, Rearrangements of functions, Weak convergence",
author = "Amin Farjudian and Behrouz Emamizadeh",
note = "Note: 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).",
year = "2015",
month = jan,
day = "1",
doi = "10.14321/realanalexch.40.1.0209",
language = "English",
volume = "40",
pages = "209--218",
journal = "Real Analysis Exchange",
issn = "0147-1937",
publisher = "Michigan State University Press",
number = "1",
}