Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito The primitive equations in the scaling-invariant space \(L^{\infty}(L^1)\). (English) Zbl 1481.35329 J. Evol. Equ. 21, No. 4, 4145-4169 (2021). MSC: 35Q35 35Q86 76D03 76M60 86A05 35A01 35A02 35D35 47D06 PDFBibTeX XMLCite \textit{Y. Giga} et al., J. Evol. Equ. 21, No. 4, 4145--4169 (2021; Zbl 1481.35329) Full Text: DOI arXiv
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions. (English) Zbl 1434.35096 J. Funct. Anal. 279, No. 3, Article ID 108561, 45 p. (2020). MSC: 35Q35 47D06 76D03 86A05 PDFBibTeX XMLCite \textit{Y. Giga} et al., J. Funct. Anal. 279, No. 3, Article ID 108561, 45 p. (2020; Zbl 1434.35096) Full Text: DOI arXiv
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito Bounded \(H^{\infty }\)-calculus for the hydrostatic Stokes operator on \(L^p\)-spaces and applications. (English) Zbl 1480.35323 Proc. Am. Math. Soc. 145, No. 9, 3865-3876 (2017). MSC: 35Q35 35B65 47D06 76D03 76D07 PDFBibTeX XMLCite \textit{Y. Giga} et al., Proc. Am. Math. Soc. 145, No. 9, 3865--3876 (2017; Zbl 1480.35323) Full Text: DOI