Seminario del 2015

Febbraio
04
2015
Petr G. Grinevich
The scattering transform for vector fields and dispersionless integrable PDE's:the Cauchy problem for the Pavlov equation.
nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI
analisi matematica
Commutation of multidimensional vector fields leads to integrable nonlinear dispersionless PDEs arising in various problems of mathematical physics and intensively studied in the recent literature. This report is aiming to solve the scattering and inverse scattering problem associated with integrable dispersionless PDEs, recently introduced just at a formal level, concentrating on the prototypical example of the Pavlov equation, and to justify an existence theorem for global bounded solutions of the associated Cauchy problem with small data.
organizzato da: Seminario Pini

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