Marcinkiewicz estimates for degenerate parabolic equations with measure data

Marcinkiewicz estimates for degenerate parabolic equations with measure data

We consider solutions to degenerate parabolic equations with measurable coefficients, having on the right-hand side a measure satisfying a suitable density condition; we prove integrability results for the gradient in the Marcinkiewicz scale.

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Veröffentlicht in:Journal of functional analysis 2014-11, Vol.267 (9), p.3397-3426
1. Verfasser: Baroni, Paolo
Format: Artikel
Sprache:eng
Schlagworte:
Degenerate parabolic equations
Intrinsic geometry
Marcinkiewicz spaces
Measure data problems
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Zusammenfassung:We consider solutions to degenerate parabolic equations with measurable coefficients, having on the right-hand side a measure satisfying a suitable density condition; we prove integrability results for the gradient in the Marcinkiewicz scale.
ISSN:0022-1236
1096-0783
1096-0783
DOI:10.1016/j.jfa.2014.08.017