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

Olli Saari

doi:10.4171/rmi/906

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

Olli Saari^*

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

14 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 language	English
Pages (from-to)	1001-1018
Number of pages	18
Journal	Revista Matematica Iberoamericana
Volume	32
Issue number	3
DOIs	https://doi.org/10.4171/rmi/906
Publication status	Published - 2016
MoE publication type	A1 Journal article-refereed

Keywords

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

Access to Document

10.4171/rmi/906

Cite this

@article{404d8d10585141edab872bea9be3131c,

title = "Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations",

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.",

keywords = "Doubly Nonlinear Equation, Global Integrability, Heat Equation, H{\"o}lder Domain, John-Nirenberg lemma, Parabolic BMO, Quasihyperbolic Boundary Condition",

author = "Olli Saari",

year = "2016",

doi = "10.4171/rmi/906",

language = "English",

volume = "32",

pages = "1001--1018",

journal = "Revista Matematica Iberoamericana",

issn = "0213-2230",

publisher = "Universidad Aut{\'o}noma de Madrid ",

number = "3",

}

TY - JOUR

T1 - Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations

AU - Saari, Olli

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Doubly Nonlinear Equation

KW - Global Integrability

KW - Heat Equation

KW - Hölder Domain

KW - John-Nirenberg lemma

KW - Parabolic BMO

KW - Quasihyperbolic Boundary Condition

UR - https://www.scopus.com/pages/publications/84990854092

U2 - 10.4171/rmi/906

DO - 10.4171/rmi/906

M3 - Article

AN - SCOPUS:84990854092

SN - 0213-2230

VL - 32

SP - 1001

EP - 1018

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 3

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this