The Cubic Szego Equation and Hankel Operators
The Cubic Szego Equation and Hankel Operators by Patrick Gerard, Sandrine Grellier
English | 2017 | ISBN: 2856298540 | 114 Pages | PDF | 1.4 MB
English | 2017 | ISBN: 2856298540 | 114 Pages | PDF | 1.4 MB
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 system, several natural phase spaces, with different topologies, can be chosen, and the large time properties may strongly depend on the choice of such topologies.