Berti and Montalto prove the existence and linear stability of small amplitude time quasi-periodic standing wave solutions (that is, periodic and even in the space variable x) of a two-dimensional ocean with infinite depth under the action of gravity and surface tension. They obtain such an existence result for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure. They cover the functional setting, tranversality properties of degenerate KAM theory, approximate inverse, the linearized operator in the normal directions, the almost digitalization and invertibility of Lw, and the Nash-Moser iteration. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
