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arXiv:1408.5760 [math.AP]AbstractReferencesReviewsResources

Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations

Olli Saari

Published 2014-08-25Version 1

We prove that local and global parabolic BMO spaces are equal thus extending the classical result of Reimann and Rychener. Moreover, we show that functions in parabolic BMO are exponentially integrable in a general class of space-time cylinders. As a corollary, we establish global integrability for positive supersolutions to a wide class of doubly nonlinear parabolic equations.

Comments: 18 pages
Categories: math.AP, math.CA
Subjects: 35K92, 42B37
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