Assuming that the Helmholtz decomposition exists in Lq(Ω)n it is proved that the Stokes equation has maximal Lq-regularity in Lsσ(Ω) for s ϵ [min{q,q′}, max{q,q′}]. Here Ω ⸦ ℝn is an (ϵ, ∞) domain with uniform C3-boundary.
CITATION STYLE
Geissert, M., & Heck, H. (2011). A remark on maximal regularity of the stokes equations. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 267–274). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_14
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