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Fractional operators with singular drift: Smoothing properties and Morrey-Campanato spaces
- Source :
- Revista Matemática Iberoamericana, Revista Matemática Iberoamericana, European Mathematical Society, 2016, 32 (4), pp.1445-1499, Revista Matemática Iberoamericana, 2016, 32 (4), pp.1445-1499
- Publication Year :
- 2014
- Publisher :
- arXiv, 2014.
-
Abstract
- We investigate some smoothness properties for a transport-diffusion equation involving a class of non-degerate L{\'e}vy type operators with singular drift. Our main argument is based on a duality method using the molecular decomposition of Hardy spaces through which we derive some H{\"o}lder continuity for the associated parabolic PDE. This property will be fulfilled as far as the singular drift belongs to a suitable Morrey-Campanato space for which the regularizing properties of the L{\'e}vy operator suffice to obtain global H{\"o}lder continuity.<br />Comment: arXiv admin note: text overlap with arXiv:1205.2834
- Subjects :
- Hölder regularity
[MATH.MATH-PR] Mathematics [math]/Probability [math.PR]
Probability (math.PR)
[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]
Mathematics::Classical Analysis and ODEs
[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
Functional Analysis (math.FA)
Mathematics - Functional Analysis
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
Mathematics - Analysis of PDEs
Morrey-Campanato spaces
molecular Hardy spaces
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Lévy-type operators
[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]
Mathematics - Probability
Analysis of PDEs (math.AP)
Subjects
Details
- ISSN :
- 02132230
- Database :
- OpenAIRE
- Journal :
- Revista Matemática Iberoamericana, Revista Matemática Iberoamericana, European Mathematical Society, 2016, 32 (4), pp.1445-1499, Revista Matemática Iberoamericana, 2016, 32 (4), pp.1445-1499
- Accession number :
- edsair.doi.dedup.....e40775c0ab433a2496562bc068c348ca
- Full Text :
- https://doi.org/10.48550/arxiv.1412.7483