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

Olli Saari*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1001-1018
Number of pages18
JournalRevista Matematica Iberoamericana
Volume32
Issue number3
DOIs
Publication statusPublished - 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Doubly Nonlinear Equation
  • Global Integrability
  • Heat Equation
  • Hölder Domain
  • John-Nirenberg lemma
  • Parabolic BMO
  • Quasihyperbolic Boundary Condition

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