cours-zurich

Stability and blow up for the non linear Schr odinger EquationPierre RaphaelInstitut de Mathematiques, Toulouse, FranceWe continue in these notes the study of the power nonlinearity Schr odinger equation(Np 1iu = uj uj u; (t;x)2 [0;T ) Rt(NLS) (1)Nu(0;x) =u (x); u : R ! C0 01 2 Nwith u 2 H = fu;ru 2 L (R )g in dimension N 1 and for energy subcritical0nonlinearities:1