Local regularity for fractional heat equations
Biccari U, Warma M, Zuazua E (2018)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2018
Publisher: Springer International Publishing
Edited Volumes: SEMA SIMAI Springer Series
Series: SEMA SIMAI Springer Series
Book Volume: 17
Pages Range: 233-249
DOI: 10.1007/978-3-319-97613-6_12
Abstract
We 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.
Authors with CRIS profile
Involved external institutions
University of Deusto / Universidad de Deusto
Spain (ES)
Recinto Universitario de Mayagüez Universidad de Puerto Rico
United States (USA) (US)
Spain (ES)
Recinto Universitario de Mayagüez Universidad de Puerto Rico
United States (USA) (US)
How to cite
APA:
Biccari, U., Warma, M., & Zuazua, E. (2018). Local regularity for fractional heat equations. In SEMA SIMAI Springer Series. (pp. 233-249). Springer International Publishing.
MLA:
Biccari, Umberto, Mahamadi Warma, and Enrique Zuazua. "Local regularity for fractional heat equations." SEMA SIMAI Springer Series. Springer International Publishing, 2018. 233-249.
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