Schauder estimates for solutions of linear parabolic integro-differential equations
arXiv:1405.0755 · doi:10.3934/dcds.2015.35.5977
Abstract
We prove optimal pointwise Schauder estimates in the spatial variables for solutions of linear parabolic integro-differential equations. Optimal Hölder estimates in space-time for those spatial derivatives are also obtained.
arXiv commentSubmitted, 26 pages
References in corpus (5)
- Regularity theory for fully nonlinear integro-differential equations
- Local regularity for parabolic nonlocal operators
- Schauder estimates for a class of non-local elliptic equations
- Regularity results for nonlocal parabolic equations
- Partial Schauder estimates for second-order elliptic and parabolic equations