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dg-ga1997
Topology of solutions of the Liouville equation
Wlodzimierz Piechocki
Suggestions concerning the generalization of the geometric quantization to the case of nonlinear field theories are given. Results for the Liouville field theory are presented.
dg-ga1997
Topology of the set of smooth solutions to the Liouville equation
Kazimierz Bragiel, Wlodzimierz Piechocki
We prove that the space of smooth initial data and the set of smooth solutions of the Liouville equation are homeomorphic.