It is known that, if u is a real valued function on R^n of bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation of u and that one of its polar u_{\pi}.

Functions of bounded variation and Polarization

Alberico A;
2009

Abstract

It is known that, if u is a real valued function on R^n of bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation of u and that one of its polar u_{\pi}.
2009
Istituto Applicazioni del Calcolo ''Mauro Picone''
Symmetrization
polarization
functions of bounded variation
integral functionals.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/115833
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