Absolute continuity in partial differential equations

Amin Farjudian, Behrouz Emamizadeh

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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 languageEnglish
Pages (from-to)209-218
JournalReal Analysis Exchange
Issue number1
Publication statusPublished - 1 Jan 2015


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


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