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On a diffeomorphism between two Banach spaces - a variational approach

Speaker(s)
Marek Galewski
Affiliation
Politechnika Łódzka
Date
March 17, 2016, 12:30 p.m.
Room
room 4060
Seminar
Seminar of Mathematical Physics Equations Group

Let X;Z be Banach spaces. Main aims of the talk are
a) provide suffcient conditions for a C1 mapping $f : X \to Z$ to be a diffeomorphism using local dffeomorphism theorem and mountain pass theorem
b) provide some application to integro-differential equation
c) examine what happens when f is only locally Lipschitz continuous -
describe problems which appear here in the context of non-smooth differentiation.