P.G. Grinevich (Steklov Mathematical Institute, Moscow)
The famous Korteweg鈥揹e Vries (KdV) equation admits important singular solutions, but only very special singularities are compatible with the KdV dynamics. We show, that for the Schrodinger operators from the KdV Lax pair with such special singularities the spectral theory can be naturally formulated in terms of pseudo-Hilbert spaces with indefinite metrics. IN particular, the number of negative squares in this metric provides a new conservation law for such solutions. The talk is based on joint works with S.P. Novikov.
To attend the seminar, join a conference in Zoom at on May 15 after 4:30 pm Novosibirsk time (UTC+7).
Conference ID: 621 6323 5378
Password: 323416
