Regularity results for stable-like operators
| dc.creator | Bass, Richard F. | |
| dc.date | 2008-12-04 | |
| dc.date.accessioned | 2026-07-07T12:09:25Z | |
| dc.date.available | 2026-07-07T12:09:25Z | |
| dc.description | For $α\in [1,2)$ we consider operators of the form $$L f(x)=\int_{R^d} [f(x+h)-f(x)-1_{(|h|\leq 1)} \nabla f(x)\cdot h] \frac{A(x,h)}{|h|^{d+α}}$$ and for $α\in (0,1)$ we consider the same operator but where the $\nabla f$ term is omitted. We prove, under appropriate conditions on $A(x,h)$, that the solution $u$ to $L u=f$ will be in $C^{α+β}$ if $f\in C^β$. | |
| dc.identifier | https://arxiv.org/abs/0812.0982 | |
| dc.identifier | http://arxiv.org/abs/0812.0982 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209618 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Probability | |
| dc.subject | 45K05; 35B65; 60J75 | |
| dc.title | Regularity results for stable-like operators | |
| dc.type | text |