On the growth of Sobolev norms for the cubic Szegő equation

  title={On the growth of Sobolev norms for the cubic Szegő equation},
  author={Patrick G{\'e}rard and Sandrine Grellier},
The large time behavior of solutions to Hamiltonian partial differential equations is an important problem in mathematical physics. In the case of finite dimensional Hamiltonian systems, many features of the large time behavior of trajectories are described using the topology of the phase space. For a given infinite dimensional systems, several natural phase spaces, with different topologies, can be chosen, and the large time properties may strongly depend on the choice of such topologies. For… 

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