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Grey noise
- Publisher
- Springer Journals
- Copyright
- Copyright © Springer Nature Switzerland AG 2019
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- eISSN
- 1424-3202
- DOI
- 10.1007/s00028-019-00517-5
- Publisher site
- See Article on Publisher Site
Abstract
We study the asymptotic behavior of anomalous fractional diffusion processes in bad domains via the convergence of the associated energy forms. We introduce the associated Robin–Venttsel’ problems for the regional fractional Laplacian. We provide a suitable notion of fractional normal derivative on irregular sets via a fractional Green formula as well as existence and uniqueness results for the solution of the Robin–Venttsel’ problem by a semigroup approach. Submarkovianity and ultracontractivity properties of the associated semigroup are proved.
Journal
Journal of Evolution Equations – Springer Journals
Published: Mar 30, 2020