Biccari, UmbertoWarma, MahamadiZuazua, Enrique2025-01-072025-01-072018Biccari, U., Warma, M., & Zuazua, E. (2018). Local regularity for fractional heat equations. En SEMA SIMAI Springer Series (Vol. 17, pp. 233-249). Springer International Publishing. https://doi.org/10.1007/978-3-319-97613-6_122199-304110.1007/978-3-319-97613-6_12http://hdl.handle.net/20.500.14454/2194We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbitrary bounded open set Ω ⊂ ℝN. Proofs combine classical abstract regularity results for parabolic equations with some new local regularity results for the associated elliptic problems.eng© 2018 Springer Nature Switzerland AGbook part2025-01-072199-305X