Event Series
Event Type
Seminar
Friday, February 12, 2021 11:00 AM
Pierre Germain (NYU)

Abstract: Kinks are topological solitons, which appear in (nonlinear)
one-dimensional Klein-Gordon equations, the Phi-4 and Sine-Gordon
equations being the best-known examples. I will present new results
which give asymptotic stability for kinks, with an optimal decay rate,
in some cases. The proof relies on the distorted Fourier transform
associated to the linearized equation around the kink; this method
should be of interest for more general soliton stability problems. This
is joint work with Fabio Pusateri.

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