Standing waves on infinite depth
Iooss, Gérard ; Plotnikov, Pavel, ; Toland, John,
HAL, hal-00014716 / Harvested from HAL
Text on HAL
The two-dimensional standing wave problem, for an infinitely deep layer, is considered, based on the formulation of the problem as a second order non local PDE. Despite the presence of infinitely many resonances in the linearized problem, we use the Nash–Moser implicit function theorem to prove the existence of standing waves corresponding to values of the amplitude having 0 as a Lebesgue point.
Publié le : 2004-07-05
Classification:  Mathematical Problems in Mechanics/Partial Differential Equations,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00014716,
     author = {Iooss, G\'erard and Plotnikov, Pavel,  and Toland, John, },
     title = {Standing waves on infinite depth},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00014716}
}

Iooss, Gérard; Plotnikov, Pavel, ; Toland, John, . Standing waves on infinite depth. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00014716/