A P ] 1 9 Ju n 20 08 ENERGY SCATTERING FOR THE 2 D CRITICAL WAVE EQUATION

@inproceedings{Ibrahim2008AP,
  title={A P ] 1 9 Ju n 20 08 ENERGY SCATTERING FOR THE 2 D CRITICAL WAVE EQUATION},
  author={Slim Ibrahim and Mohamed Majdoub and Nader Masmoudi and Kenji Nakanishi},
  year={2008}
}
We investigate existence and asymptotic completeness of the wave operators for nonlinear Klein-Gordon and Schrödinger equations with a defocusing exponential nonlinearity in two space dimensions. A certain threshold is defined based on the value of the conserved Hamiltonian, below which the exponential potential energy is dominated by the kinetic energy via… CONTINUE READING