Absolute continuity in partial differential equations

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Absolute continuity in partial differential equations

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.

Bibliographic Details
Main Authors:	Farjudian, Amin, Emamizadeh, Behrouz
Format:	Article
Language:	English
Published:	Michigan State University Press 2015
Subjects:	Absolute continuity; Weak convergence; Rearrangements of functions; Measure preserving maps; Hamilton-Jacobi systems
Online Access:	https://eprints.nottingham.ac.uk/56195/

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