Connecting orbits in Hilbert spaces and applications to P.D.E.

Abstract: Functional Analysis methods are often useful to solve efficiently P.D.E. problems. The idea is to view a solution of a P.D.E. as a map with values in a space of functions, and reduce the initial P.D.E. to an O.D.E. problem. I will establish a general theorem on the existence of heteroclinic orbits in Hilbert spaces. As a first application, I will present a new construction, in a more general setting, of the heteroclinic double layers  (initially constructed by Schatzman). As a second application, I will show the existence of the heteroclinic double layers for a fourth order P.D.E.

Date: Aug 21, 2019 at 16:00:00 h
Venue: Sala de Seminarios Felipe Álvarez Daziano, 5to piso, Torre Norte de Beauchef 851.
Speaker: Panayotis Smyrnelis
Affiliation: Polish Academy of Sciences, Polonia
Coordinator: Prof. Matteo Rizzi
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Posted on Aug 13, 2019 in Differential Equations, Seminars