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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Michigan State University Press
2015
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| Online Access: | https://eprints.nottingham.ac.uk/56195/ |
| _version_ | 1848799290832453632 |
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| author | Farjudian, Amin Emamizadeh, Behrouz |
| author_facet | Farjudian, Amin Emamizadeh, Behrouz |
| author_sort | Farjudian, Amin |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:33:19Z |
| format | Article |
| id | nottingham-56195 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:33:19Z |
| publishDate | 2015 |
| publisher | Michigan State University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-561952019-10-10T10:01:17Z https://eprints.nottingham.ac.uk/56195/ Absolute continuity in partial differential equations Farjudian, Amin Emamizadeh, Behrouz 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. Michigan State University Press 2015-01-01 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/56195/1/2015-Farjudian_Emamizadeh-Absolute_Continuity_in_PDEs.pdf Farjudian, Amin and Emamizadeh, Behrouz (2015) Absolute continuity in partial differential equations. Real Analysis Exchange, 40 (1). pp. 209-218. ISSN 0147-1937 Absolute continuity; Weak convergence; Rearrangements of functions; Measure preserving maps; Hamilton-Jacobi systems http://dx.doi.org/10.14321/realanalexch.40.1.0209 doi:10.14321/realanalexch.40.1.0209 doi:10.14321/realanalexch.40.1.0209 |
| spellingShingle | Absolute continuity; Weak convergence; Rearrangements of functions; Measure preserving maps; Hamilton-Jacobi systems Farjudian, Amin Emamizadeh, Behrouz Absolute continuity in partial differential equations |
| title | Absolute continuity in partial differential equations |
| title_full | Absolute continuity in partial differential equations |
| title_fullStr | Absolute continuity in partial differential equations |
| title_full_unstemmed | Absolute continuity in partial differential equations |
| title_short | Absolute continuity in partial differential equations |
| title_sort | absolute continuity in partial differential equations |
| topic | Absolute continuity; Weak convergence; Rearrangements of functions; Measure preserving maps; Hamilton-Jacobi systems |
| url | https://eprints.nottingham.ac.uk/56195/ https://eprints.nottingham.ac.uk/56195/ https://eprints.nottingham.ac.uk/56195/ |