June 11, 2019

Talk of Prof. Abdol-Reza Mansouri

--- Title: A variant of the Nash-Moser theorem

June 11, 2019

Prof. Abdol-Reza Mansouri
Department of Mathematics and Statistics
Queen's University, Ontario, Canada


Tuesday 2019-06-11 16:00
IST-Seminar-Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen



 The Nash-Moser theorem is an implicit function theorem in Fréchet spaces, suited for situations where "loss of derivatives" prevents the application of the standard (Banach-space) implicit function theorem. Some control on this loss of derivatives is assumed through so-called tame estimates. After reviewing recent work on the Nash-Moser theorem, we will consider the situation where tame estimates are satisfied only modulo a regularizing operator, and show how the Nash Moser theorem can be extended to this setting. (Joint work with Helena Biščević, University of Sarajevo).






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