Trace Operators and Classification Criteria for Regular Trees
The thesis deals with existence of traces of Sobolev functions defined on regular trees.
The existence is shown to be strongly related to the isoperimetric profile of the tree under
natural assumptions. Furthermore, we give classification criteria for regular trees.
Publisher
Jyväskylän yliopistoISBN
978-951-39-8795-4ISSN Search the Publication Forum
2489-9003Contains publications
- Artikkeli I: Koskela, P., Nguyen, K. N., & Wang, Z. (2021). Trace and Density Results on Regular Trees. Potential Analysis, Early online. DOI: 10.1007/s11118-021-09907-2
- Artikkeli II: Koskela, P., Nguyen, K. N., & Wang, Z. (2021). Trace Operators on Regular Trees. Analysis and Geometry in Metric Spaces, 8(1), 396-409. DOI: 10.1515/agms-2020-0117
- Artikkeli III: Nguyen, K. N., & Wang, Z. (2020). Admissibility versus Ap-Conditions on Regular Trees. Analysis and Geometry in Metric Spaces, 8(1), 92-105. DOI: 10.1515/agms-2020-0110
- Artikkeli IV: Nguyen, Khanh. Classification criteria for regular trees. Accepted by Annales Academiæ Scientiarum Fennicæ. Mathematica.
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- JYU Dissertations [870]
- Väitöskirjat [3599]
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