WEAK MORREY ESTIMATES FOR WEAK SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS RELATED TO HÖRMANDER’S VECTOR FIELDS - Collections

＜departmental bulletin paper＞
WEAK MORREY ESTIMATES FOR WEAK SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS RELATED TO HÖRMANDER’S VECTOR FIELDS

Creator	Creator Name Cui, Xuewei Affiliation Affiliation Name Department of Applied Mathematics, Northwestern Polytechnical University \| Key Laboratory of Space Applied Physics and Chemistry Ministry of Education
	Creator Name Niu, Pengcheng Affiliation Affiliation Name Department of Applied Mathematics, Northwestern Polytechnical University \| Key Laboratory of Space Applied Physics and Chemistry Ministry of Education
	Creator Name Zhang, Xiaoying Affiliation Affiliation Name Department of Applied Mathematics, Northwestern Polytechnical University \| Key Laboratory of Space Applied Physics and Chemistry Ministry of Education
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2014-05-27
Source Title	Kyushu Journal of Mathematics
Vol	68
Issue	1
First Page	149
Last Page	164
Publication Type	Version of Record
Access Rights	restricted access
Related DOI	isIdenticalTo https://doi.org/10.2206/kyushujm.68.149
Related DOI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI
Related HDL
Relation	http://www2.math.kyushu-u.ac.jp/~kjm/
Abstract	The aim of this paper is to study regularity of weak solutions to second-order degenerate elliptic equations constructed by Hörmander' s vector fields. Under the assumptions of lower-order terms and t...he right-hand side of the equation belonging to different Morrey spaces, we establish weak Morrey estimates of weak solutions by using representation formula of very weak solutions, the reverse Hölder's inequality and proving several a priori estimates.show more

Details

Record ID	1456093
Peer-Reviewed	Refereed
Subject Terms	Hörmander's vector fields
	Morrey spaces
	weak solutions
ISSN	1340-6116
DOI	10.2206/kyushujm.68.149
NCID	AA10994346
Created Date	2014.07.28
Modified Date	2024.01.10

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＜departmental bulletin paper＞ WEAK MORREY ESTIMATES FOR WEAK SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS RELATED TO HÖRMANDER’S VECTOR FIELDS

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＜departmental bulletin paper＞
WEAK MORREY ESTIMATES FOR WEAK SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS RELATED TO HÖRMANDER’S VECTOR FIELDS