Absolutely continuous representatives on curves for Sobolev functions

DOI10.1016/S0022-247X(02)00665-0zbMath1030.34009OpenAlexW2151837799MaRDI QIDQ1399310

Giulia Treu, Carlo Mariconda

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00665-0

zbMATH Keywords

trajectoriesrepresentativesLipschitz vector fieldsAbsolutely continuouschange of variable formula for Sobolev functionscomposition of Sobolev functionsLipschitz fieldparametrization of the trajectories

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (1)

The lack of strict convexity and the validity of the comparison principle for a simple class of minimizers

Cites Work

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• Change of variables for absolutely continuous functions
• Absolute continuity on tracks and mappings of Sobolev spaces
• A comparison principle for minimizers
• On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation

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