Stability of waves using the Fredholm determinant

Details Stability of waves using the Fredholm determinant Stability of waves using the Fredholm determinant

2011-06-30

arxiv.org/abs/1107.0213v3

Mathematics

Analysis of PDEs

18 pages

Scientific paper

We present a new method for reducing the Fredholm determinant associated with
an underlying Birman-Schwinger operator to a finite dimensional determinant.
Moreover, we compute explicitly the connection between the Fredholm determinant
and the Evans function for travelling wave problems of all orders, in one
dimension

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