Abstract
It is shown that the hydrostatic Stokes operator on Lp/σ(Ω), where Ω ⊂ ℝ3 is a cylindrical domain subject to mixed periodic, Dirichlet and Neumann boundary conditions, admits a bounded H∞-calculus on Lp/σ(Ω) for p ∈ (1, ∞) of H∞-angle 0. In particular, maximal Lq − Lp-regularity estimates for the linearized primitive equations are obtained.
Original language | English |
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Pages (from-to) | 3865-3876 |
Number of pages | 12 |
Journal | Proceedings of the American Mathematical Society |
Volume | 145 |
Issue number | 9 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
Keywords
- H-functional calculus
- Hydrostatic Stokes operator
- Maximal L-regularity
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics