A Riemann jump problem for biharmonic functions in fractal domains

Biharmonic functions are the solutions of the fourth order partial differential equation Delta Delta omega = 0. The purpose of this paper is to solve a kind of Riemann boundary value problem for biharmonic functions assuming higher order Lipschitz boundary data. We approach this problem making use of generalized Teodorescu transforms for obtaining the explicit expression of its solution in a Jordan domain Omega subset of R-2 with fractal boundary.