PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES

Doyoon Kim; Kyeong Hun Kim; Kijung Lee

doi:10.3934/cpaa.2022062

PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES

Doyoon Kim
, Kyeong Hun Kim^*
, Kijung Lee

^*Corresponding author for this work

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We present a weighted L_p-theory of parabolic systems on a half space R^d₊. The leading coefficients are assumed to be only measurable in time t and have small bounded mean oscillations (BMO) with respect to the spatial variables x, and the lower order coefficients are allowed to blow up near the boundary.

Original language	English
Pages (from-to)	2587-2613
Number of pages	27
Journal	Communications on Pure and Applied Analysis
Volume	21
Issue number	8
DOIs	https://doi.org/10.3934/cpaa.2022062
Publication status	Published - 2022 Aug

Bibliographical note

Publisher Copyright:
© 2022 American Institute of Mathematical Sciences. All rights reserved.

Keywords

measurable coefficients
parabolic systems
sharp/maximal functions
weighted Sobolev spaces

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2022062

Cite this

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title = "PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES",

abstract = "We present a weighted Lp-theory of parabolic systems on a half space Rd+. The leading coefficients are assumed to be only measurable in time t and have small bounded mean oscillations (BMO) with respect to the spatial variables x, and the lower order coefficients are allowed to blow up near the boundary.",

keywords = "measurable coefficients, parabolic systems, sharp/maximal functions, weighted Sobolev spaces",

author = "Doyoon Kim and Kim, \{Kyeong Hun\} and Kijung Lee",

year = "2022",

month = aug,

doi = "10.3934/cpaa.2022062",

language = "English",

volume = "21",

pages = "2587--2613",

journal = "Communications on Pure and Applied Analysis",

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publisher = "American Institute of Mathematical Sciences",

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T1 - PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES

AU - Kim, Doyoon

AU - Kim, Kyeong Hun

AU - Lee, Kijung

PY - 2022/8

Y1 - 2022/8

N2 - We present a weighted Lp-theory of parabolic systems on a half space Rd+. The leading coefficients are assumed to be only measurable in time t and have small bounded mean oscillations (BMO) with respect to the spatial variables x, and the lower order coefficients are allowed to blow up near the boundary.

AB - We present a weighted Lp-theory of parabolic systems on a half space Rd+. The leading coefficients are assumed to be only measurable in time t and have small bounded mean oscillations (BMO) with respect to the spatial variables x, and the lower order coefficients are allowed to blow up near the boundary.

KW - measurable coefficients

KW - parabolic systems

KW - sharp/maximal functions

KW - weighted Sobolev spaces

UR - https://www.scopus.com/pages/publications/85142281998

U2 - 10.3934/cpaa.2022062

DO - 10.3934/cpaa.2022062

M3 - Article

AN - SCOPUS:85142281998

SN - 1534-0392

VL - 21

SP - 2587

EP - 2613

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 8

ER -

PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS IN WEIGHTED SOBOLEV SPACES

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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