Integral representation results in BVxL^p
G. Carita, E. Zappale
TL;DR
This paper establishes integral representation results for the relaxation of energy functionals involving two vector fields with different behaviors, relevant to image decomposition and thermochemical equilibrium.
Contribution
It provides new integral representation results for relaxed energy functionals depending on two vector fields with different behaviors.
Findings
Integral representation results are obtained for specific energy functionals.
The results apply to problems in image decomposition.
The findings are relevant to thermochemical equilibrium models.
Abstract
Integral representation results are obtained for the relaxation of some classes of energy functionals depending on two vector fields with different behaviors, which may appear in the context of image decomposition and thermochemical equilibrium problems.
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Taxonomy
TopicsGas Dynamics and Kinetic Theory · Numerical methods in inverse problems · Advanced Thermodynamics and Statistical Mechanics