NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES

Favini, Angelo; Labbas, Rabah; Maingot, Stéphane et al.

Discrete and Continuous Dynamical Systems - Series A, 2008, 22(4), 973-987

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Identifier to cite or link to this item: https://hdl.handle.net/11094/24742

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Title
NECESSARY AND SUFFICIENT CONDITIONS FOR MAXIMAL REGULARITY IN THE STUDY OF ELLIPTIC DIFFERENTIAL EQUATIONS IN HÖLDER SPACES
Creator
CreatorName
Favini, Angelo
CreatorName
Labbas, Rabah
CreatorName
Maingot, Stéphane
NRID
1000070028083 1000070028083
CreatorName
Tanabe, Hiroki
NRID
1000070116119 1000070116119
CreatorName
Yagi, Atsushi
Subject
Second order abstract differential equation
Boundary condition
Analytic semigroup
Maximal regularity
Elliptic equation
Hölderian regularity
Abstract
In this paper we give new results on complete abstract second order differential equations of elliptic type in the framework of H ölder spaces, extending those given in [4] and [5]. More precisely we study u”+2Bu’+Au = f in the case when f is Hölder continuous and under some natural assumptions on the operators A and B. We give necessary and sufficient conditions of compatibility to obtain a strict solution u and also to ensure that the strict solution has the maximal regularity property.
Publisher
American Institute of Mathematical Science
Source Title
Discrete and Continuous Dynamical Systems - Series A
Volume (Issue)
22(4)
Page
973-987
Date of Issued
2008-12
Language
English
Handle URL
https://hdl.handle.net/11094/24742
PISSN
10780947
NCID
AA11026216
Relation.isIdenticalTo
DOI (Publisher Version)
https://doi.org/10.3934/dcds.2008.22.973
Access Rights
open access
oaire:version
Version of Record
Category
学術雑誌論文 Journal Article