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Your search keyword '"BARONI, PAOLO"' showing total 2 results
Start Over Author "BARONI, PAOLO" Topic parabolic differential equations Publication Year Range Last 10 years Database Academic Search Index
2 results on '"BARONI, PAOLO"'

1. The Cauchy–Dirichlet problem for a general class of parabolic equations.

Author

Baroni, Paolo and Lindfors, Casimir

Subjects
*CAUCHY problem, *DIRICHLET problem, *PARABOLIC differential equations, *LIPSCHITZ spaces, *LAPLACIAN operator
Abstract

We prove regularity results such as interior Lipschitz regularity and boundary continuity for the Cauchy–Dirichlet problem associated to a class of parabolic equations inspired by the evolutionary p -Laplacian, but extending it at a wide scale. We employ a regularization technique of viscosity-type that we find interesting in itself. [ABSTRACT FROM AUTHOR]

Published
2017
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2. 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
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