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Lorentz estimates for obstacle parabolic problems
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 96, 167-188 p.Article in journal (Refereed) Published
Abstract [en]

We prove that the spatial gradient of (variational) solutions to parabolic obstacle problems of p-Laplacian type enjoys the same regularity of the data and of the derivatives of the obstacle in the scale of Lorentz spaces. 

Place, publisher, year, edition, pages
2014. Vol. 96, 167-188 p.
Keyword [en]
Parabolic variational equations, Obstacle problem, Lorentz spaces
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-216718DOI: 10.1016/j.na.2013.11.004ISI: 000329114000013OAI: oai:DiVA.org:uu-216718DiVA: diva2:691236
Available from: 2014-01-27 Created: 2014-01-24 Last updated: 2017-12-06Bibliographically approved

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Baroni, Paolo

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