Given a parabolic cylinder Q = (0, T) x Omega, with Omega subset of R-N, we consider the class of finite measures which do not charge sets of zero p-parabolic capacity in Q. We prove that such measures can be strongly approximated by measures which can be written as v(t) - Delta(p)v with v is an element of L-p(0, T; W-0(1,p) (Omega)) boolean AND L-infinity (Q). Estimates on the capacity of level sets of solutions of parabolic equations play a crucial role in our proof.

Petitta, F., Ponce, A., Porretta, A. (2008). Approximation of diffuse measures for parabolic capacities. COMPTES RENDUS MATHÉMATIQUE, 346, 161-166 [10.1016/j.crma.2007.12.002].

Approximation of diffuse measures for parabolic capacities

PORRETTA, ALESSIO
2008-01-01

Abstract

Given a parabolic cylinder Q = (0, T) x Omega, with Omega subset of R-N, we consider the class of finite measures which do not charge sets of zero p-parabolic capacity in Q. We prove that such measures can be strongly approximated by measures which can be written as v(t) - Delta(p)v with v is an element of L-p(0, T; W-0(1,p) (Omega)) boolean AND L-infinity (Q). Estimates on the capacity of level sets of solutions of parabolic equations play a crucial role in our proof.
2008
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
EQUATIONS
Petitta, F., Ponce, A., Porretta, A. (2008). Approximation of diffuse measures for parabolic capacities. COMPTES RENDUS MATHÉMATIQUE, 346, 161-166 [10.1016/j.crma.2007.12.002].
Petitta, F; Ponce, A; Porretta, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/30842
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