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2013/2014 Absolute Continuity in Partial Differential Equations
Behrouz Emamizadeh, Amin Farjudian
Real Anal. Exchange 40(1): 209-218 (2013/2014).


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.


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Behrouz Emamizadeh. Amin Farjudian. "Absolute Continuity in Partial Differential Equations." Real Anal. Exchange 40 (1) 209 - 218, 2013/2014.


Published: 2013/2014
First available in Project Euclid: 1 July 2015

zbMATH: 1384.28019
MathSciNet: MR3365399

Primary: 28D05 , 35F21

Keywords: Absolute continuity , Hamilton-Jacobi systems , measure preserving maps , rearrangements of functions , weak convergence

Rights: Copyright © 2015 Michigan State University Press

Vol.40 • No. 1 • 2013/2014
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