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Sharp upper bounds for the density of some invariant measures

Published online by Cambridge University Press:  04 November 2009

Simona Fornaro ,
Nicola Fusco ,
Giorgio Metafune  and
Diego Pallara
Simona Fornaro
Affiliation:
Dipartimento di Matematica ‘Felice Casorati’, Università di Pavia, 1 via Ferrata, 27100 Pavia, Italy, (simona.fornaro@unipv.it)
Nicola Fusco
Affiliation:
Dipartimento di Matematica e Applicazioni ‘R. Caccioppoli’, Università degli Studi di Napoli ‘Federico II‘, Complesso di Monte Sant'Angelo, via Cinthia, 80126 Napoli, Italy, (nicola.fusco@unina.it)
Giorgio Metafune
Affiliation:
Dipartimento di Matematica ‘Ennio De Giorgi’, Università del Salento, PO Box 193, 73100 Lecce, Italy, (giorgio.metafune@unile.it; diego.pallara@unile.it)
Diego Pallara
Affiliation:
Dipartimento di Matematica ‘Ennio De Giorgi’, Università del Salento, PO Box 193, 73100 Lecce, Italy, (giorgio.metafune@unile.it; diego.pallara@unile.it)
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Abstract

We prove sharp upper bounds for invariant measures of Markov processes in ℝN associated with second-order elliptic differential operators with unbounded coefficients.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1145 - 1161
Copyright
Copyright © Royal Society of Edinburgh 2009

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