%0 Journal Article %A Tello Del Castillo, José Ignacio %T Regularity of solutions to a lubrication problem with discountinuous separation data %D 2003 %U https://hdl.handle.net/20.500.14352/49575 %X We study the regularity of the solution to the Reynolds equation for incompressible and compressible fluids when the gap between the lubricated surfaces, “h(x,y)”, presents a discontinuity in a two-dimensional bounded domain. As in the one-dimensional problem studied by Rayleigh, the solution P does not belong to C1(Ω) but we obtain that | P| is bounded, i.e. P W1,∞(Ω). %~