THE METHOD OF CONCENTRATION COMPACTNESS AND DISPERSIVE HAMILTONIAN EVOLUTION EQUATIONS

@inproceedings{Schlag2012THEMO,
  title={THE METHOD OF CONCENTRATION COMPACTNESS AND DISPERSIVE HAMILTONIAN EVOLUTION EQUATIONS},
  author={Wilhelm Schlag},
  year={2012}
}
• Small data theory: (f, g) are small, and F is treated as a perturbation. The main questions are local and global well-posedness, the existence of conserved quantities (energy), their relation to the basic symmetries of the equation (especially the dilation symmetry). The choice of spaces in which to solve can be very challenging, and algebraic properties of F may be essential in order to obtain well-posedness. Specifically, nonlinearities exhibiting a null-form structure appear in geometric… 

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