Dynamics of Partial Differential Equations

Volume 10 (2013)

Number 4

Trace formula for fourth order operators on the circle

Pages: 343 – 352

DOI: https://dx.doi.org/10.4310/DPDE.2013.v10.n4.a2


Andrey Badanin (Northern (Arctic) Federal University, Arkhangelsk, Russia)

Evgeny Korotyaev (Mathematical Physics Department, Faculty of Physics, St. Petersburg State University, St. Petersburg, Russia)


We determine the trace formula for the fourth order operator on the circle. This formula is similar to the famous trace formula for the Hill operator obtained by Dubrovin, Its-Matveev and McKean-van Moerbeke.


trace formula, fourth order operator, Hill operator

2010 Mathematics Subject Classification

35-xx, 37-xx

Published 27 December 2013