Absolute continuity in partial differential equations

Amin Farjudian; Behrouz Emamizadeh

doi:10.14321/realanalexch.40.1.0209

Absolute continuity in partial differential equations

Amin Farjudian
, Behrouz Emamizadeh

Research output: Journal Publication › Article › peer-review

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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.

Original language	English
Pages (from-to)	209-218
Journal	Real Analysis Exchange
Volume	40
Issue number	1
DOIs	https://doi.org/10.14321/realanalexch.40.1.0209
Publication status	Published - 1 Jan 2015

Free Keywords

Absolute continuity
Hamilton-Jacobi systems
Measure preserving maps
Rearrangements of functions
Weak convergence

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10.14321/realanalexch.40.1.0209

2015-Farjudian Emamizadeh-Absolute Continuity in PDEsAccepted author manuscript, 121 KB

http://dx.doi.org/10.14321/realanalexch.40.1.0209

Cite this

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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).",

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KW - Absolute continuity

KW - Hamilton-Jacobi systems

KW - Measure preserving maps

KW - Rearrangements of functions

KW - Weak convergence

KW - Absolute continuity

KW - Hamilton-Jacobi systems

KW - Measure preserving maps

KW - Rearrangements of functions

KW - Weak convergence

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DO - 10.14321/realanalexch.40.1.0209

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JO - Real Analysis Exchange

JF - Real Analysis Exchange

IS - 1

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Absolute continuity in partial differential equations

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