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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Fred Weissler
University of Paris 13
Title: Transversality of stable and Nehari manifolds

Abstract: It is well known that for the subcritical semilinear heat equation, negative initial energy is a sufficient condition for finite time blowup of the solution. We show that this is no longer true when the energy functional is replaced with the Nehari functional, thus answering negatively a question left open by Gazzola and Weth (2005).

Our proof proceeds by showing that the local stable manifold of any non-zero steady state solution intersects the Nehari manifold transversally. As a consequence, there exist solutions converging to any given steady state, with initial Nehari energy either negative or positive.

Please note room location.

Date: Monday, November 1, 2010
Time: 4:30 pm
Location: Wean Hall 5403
Submitted by:  David Kinderlehrer