Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415210 | Journal of Functional Analysis | 2014 | 46 Pages |
Abstract
This paper proves an analogue of a result of Bañuelos and Sá Barreto [5] on the asymptotic expansion for the trace of Schrödinger operators on Rd when the Laplacian âÎ, which is the generator of the Brownian motion, is replaced by the non-local integral operator (âÎ)α/2, 0<α<2, which is the generator of the symmetric stable process of order α. These results also extend recent results of Bañuelos and Yildirim [6] where the first two coefficients for (âÎ)α/2 are computed. Some extensions to Schrödinger operators arising from relativistic stable and mixed-stable processes are obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Luis Acuña Valverde,