Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces
2017 ◽
Vol 10
(3)
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pp. 267-301
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Keyword(s):
AbstractWe prove up-to-the-boundary higher integrability estimates for parabolic quasi-minimizers on a domain \Omega_{T}= Ω \times (0,T), where Ω denotes an open domain in a doubling metric measure space which supports a Poincaré inequality. The higher integrability for upper gradients is shown globally and under optimal conditions on the boundary \partialΩ of the domain as well as on the boundary data itself. This is a starting point for a further discussion on parabolic quasi-minima on metric measure spaces, such as for example regularity or stability issues.
2015 ◽
Vol 126
(1)
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pp. 307-339
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Keyword(s):
2016 ◽
Vol 19
(01)
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pp. 1650001
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2016 ◽
Vol 103
(2)
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pp. 268-278
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2012 ◽
Vol 23
(09)
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pp. 1250095
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2011 ◽
Vol 9
(3)
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pp. 245-282
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2013 ◽
Vol 1
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pp. 147-162
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