Toland, J. F. Stokes waves in Hardy spaces and as distributions. (English) Zbl 0976.35052 J. Math. Pures Appl., IX. Sér. 79, No. 9, 901-917 (2000). From the text: “This paper deals with some functional analytic questions which arise when the Stokes wave problem, for the free boundary of a steady irrotational water wave, is formulated as a quadratic equation for a \(2\pi\)-periodic, real-valued function \(w\) on \(\mathbb{R}^1\) which needs not be weakly differentiable.”The results in the paper are theorems on the regularity function \(w\) and some of its properties. Reviewer: Rudolf Kodnár (Bratislava) Cited in 12 Documents MSC: 35Q30 Navier-Stokes equations 35R35 Free boundary problems for PDEs 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction Keywords:Stokes wave problem; free boundary of a steady irrotational water wave; regularity function PDFBibTeX XMLCite \textit{J. F. Toland}, J. Math. Pures Appl. (9) 79, No. 9, 901--917 (2000; Zbl 0976.35052) Full Text: DOI