Geometric Evolutions and Minimal Surfaces in Lorentzian Manifolds
timetable:
Wed 8 Sep, 11:30 - 12:30, Aula Dini
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The Hamiltonian Structure of the Nonlinear Schrödinger Equation and the Asymptotic Stability of its Ground States
speaker: Scipio Cuccagna (Università di Trieste)abstract: Ground states satisfying conditions for orbital stability by Weinstein are proved asymptotically stable for generic equations with smooth nonlinearity, solving old problem, Soffer & Weinstein 80's. For Fermi Golden rule we implement a Birkhoff normal form argument, as in solution by Bambusi & Cuccagna of problem (initiated in Soffer & Weinstein 1999) on asymptotic stability of the 0 solution for nonlinear Klein Gordon equation. Since is not 0 but orbits of ground states, we implement Darboux Theorem, with care to save semilinear nature of hamiltonian.
timetable:
Wed 8 Sep, 11:30 - 12:30, Aula Dini
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