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A priori estimates and theory of existence for parabolic equations in variable Hölder spaces
Authors:
- Piotr Bies
Abstract
We study parabolic equations in variable Hölder spaces on domains of Euclidean spaces. The existence and uniqueness of solutions is proved.
- Record ID
- WUTec1a89b73a4944a19602e787fd90524f
- Author
- Journal series
- Journal of Differential Equations, ISSN 0022-0396, e-ISSN 1090-2732
- Issue year
- 2021
- Vol
- 287
- Pages
- 491-541
- Keywords in Polish
- Przestrzenie Höldera ze zmiennym wykładnikiem, Oszacowania schuaderowskie, Przestrzenie ze zmiennym wykładnikiem, Równania paraboliczne
- Keywords in English
- Variable Hölder spaces, Schauder estimates, Variable exponent spaces, Parabolic equations
- ASJC Classification
- Abstract in Polish
- W pracy badane są równania paraboliczne w przestrzeniach Höldera ze zmiennym wykładnikiem. Udowodnione są oszacowania a priori dla tych równań oraz istnienie i jednoznaczność rozwiązań.
- DOI
- DOI:10.1016/j.jde.2021.04.006 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S0022039621002291 Opening in a new tab
- Language
- eng (en) English
- License
- File
-
- File: 1
- A priori estimates and theory of existence for parabolic equations in variable Hölder spaces, File WUTec1a89b73a4944a19602e787fd90524f.pdf / 508 KB
- WUTec1a89b73a4944a19602e787fd90524f.pdf
- publication date: 31-03-2022
- A priori estimates and theory of existence for parabolic equations in variable Hölder spaces, File WUTec1a89b73a4944a19602e787fd90524f.pdf / 508 KB
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- Score (nominal)
- 140
- Score source
- journalList
- Score
- = 140.0, 31-03-2022, ArticleFromJournal
- Publication indicators
- = 0; : 2018 = 1.710; : 2020 (2 years) = 2.430 - 2020 (5 years) =2.857
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- Uniform Resource Identifier
- https://repo.pw.edu.pl/info/article/WUTec1a89b73a4944a19602e787fd90524f/
- URN
urn:pw-repo:WUTec1a89b73a4944a19602e787fd90524f
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.