Integral representation results in BVxL^p
G. Carita, E. Zappale
TL;DR
This paper derives an integral representation for the relaxed form of energy functionals involving two vector fields with distinct behaviors, relevant to image processing and thermochemical equilibrium modeling.
Contribution
It provides a novel integral representation for the relaxation of complex energy functionals with two vector fields, advancing mathematical understanding in this area.
Findings
Established integral representation for relaxed energy functionals
Applicable to image decomposition and thermochemical problems
Enhances theoretical framework for BVxL^p functionals
Abstract
An integral representation result is obtained for the relaxation of a class of energy functionals depend- ing 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
TopicsNumerical methods in inverse problems · Navier-Stokes equation solutions · Stability and Controllability of Differential Equations