Wellposedness of bounded solutions of the non-homogeneous initial   boundary for the short pulse equation
  The short pulse equation provides a model for the propagation of the ultra-short light pulse in silica optical fibers It is a nonlinear evolution equation. In this paper the wellposedness of bounded solutions for the inhomogeneous initial boundary value problem associated to this equation is studied. 
G.M. Coclite and L. di Ruvo
math.AP