Abstract: We discuss an extension of some results, obtained by E. Serra and P. Tilli ('12,'16), concerning an original conjecture by E. De Giorgi ('96) on a purely minimization approach to the Cauchy problem for the defocusing nonlinear wave equation. Precisely, we show how to extend the techniques developed by Serra and Tilli to the case of nonhomogeneous second order hyperbolic equations (possibly in presence of dissipative terms).
This is a joint work with P. Tilli.