Virginia TechKim, J. U.2014-05-282014-05-281998-09Kim, J. U., "On a wave equation with a boundary condition associated with capillary waves," SIAM J. Math. Anal., 30(1), 53-71, (1998). DOI: 10.1137/s003614109732821x0036-1410http://hdl.handle.net/10919/48141This paper discusses an initial-boundary value problem for a wave equation with a nonstandard boundary condition associated with linear capillary waves on the surface of a compressible liquid. We prove the well-posedness of this problem. Our main technical device is the Fourier transform.application/pdfenIn Copyrightwave equationinitial-boundary value problemcapillary wavesmathematics, appliedArticle - Refereedhttp://epubs.siam.org/doi/abs/10.1137/S003614109732821Xhttps://doi.org/10.1137/s003614109732821x