Abstract:
We consider the generalized Korteweg-de Vries equation with a new
linear estimate. We provide a close of self-adjoint Laplace operators on
emteric graphs that the solutions of the associated wave equation satisfy
the finite propagation speed property. We study standing waves for
nonlinear Schrödinger equations with gauge field. We consider the
defocusing cubic nonlinear wave equation in the energy –supercritical
regine, in dimension greater or equal to six with no vertical assumptions
in the initial data.