Renormalization and blow ups for the nonlinear Schrödinger equation

Denis Gaidashev

Existence of finite-time blow ups in the classical one-dimensional nonlinear Schrödinger equation (NLS) (1) i \partial_t u + u_{x x} + |u|^{2r} u = 0, u(x,0) = u_0(x) has been one…