| Regularity of Stokes Waves in Hardy Spaces and in Spaces of Distributions (2007) | |||||||||||||
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| 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-periodic, real-valued function w on R which need not be dierentiable, even in a weak sense. It is shown that any solution w of bounded variation which lies in the fractional order Sobolev space H 1 | |||||||||||||
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