Estimates of the Green Function for the Fractional Laplacian Perturbed by Gradient
β Scribed by Krzysztof Bogdan; Tomasz Jakubowski
- Publisher
- Springer Netherlands
- Year
- 2011
- Tongue
- English
- Weight
- 500 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0926-2601
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π SIMILAR VOLUMES
## Abstract In this paper we give integral conditions for the stability of the absolutely continuous spectrum for the fractional Laplacian __H__~0~ = , where __Ξ±__ β (0, 2), perturbed by an unbounded obstacle Ξ β **R**^__d__^ . We use the stochastic representation of the associated semigroups to de
## Abstract In this paper we show with scattering theoretical methods the absence of the singular continuous spectrum for operators that are perturbations of functions of the Laplacian. We extend the semigroup criteria developed in [9] and apply the result to the case of the fractional Laplacian (β