Search

Your search keyword '"BARONI, PAOLO"' showing total 2 results
Start Over Author "BARONI, PAOLO" Topic estimation theory Topic parabolic differential equations Publication Type Academic Journals
2 results on '"BARONI, PAOLO"'

1. Singular parabolic equations, measures satisfying density conditions, and gradient integrability.

Author

Baroni, Paolo

Subjects
*PARABOLIC differential equations, *DENSITY, *MATHEMATICAL variables, *MARCINKIEWICZ-Orlicz spaces, *ESTIMATION theory
Abstract

We consider solutions to singular parabolic equations with measurable dependence on the ( x , t ) variables and having on the right-hand side a measure satisfying a density condition. We prove that the less the measure is concentrated, the more the gradient is regular, in the Marcinkiewicz scale. We provide local estimates and recover some classic results. [ABSTRACT FROM AUTHOR]

Published
2017
Full Text
View/download PDF

2. Calderón–Zygmund estimates for parabolic measure data equations

Author

Baroni, Paolo and Habermann, Jens

Subjects
*PARABOLIC differential equations, *RADON measures, *ESTIMATION theory, *MATHEMATICAL proofs, *NUMERICAL solutions to elliptic differential equations, *CALDERON-Zygmund operator
Abstract

Abstract: We consider parabolic equations of the type having a Radon measure on the right-hand side and prove fractional integrability and differentiability results of Calderón–Zygmund type for weak solutions. We extend some of the integrability results for elliptic equations achieved by G. Mingione (2007) to the parabolic setting and locally recover the integrability results of L. Boccardo, A. DallʼAglio, T. Gallouët, and L. Orsina (1997) in . [Copyright &y& Elsevier]

Published
2012
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results