Waveguide theory
Treatment of equation related to wave propagation (both analytic and numerical). Non-linear functional analysis.
Main publications:
Bogolyubov A. N., Malykh M. D., Panin A. A. Time Asymptotics of a Field Excited in a Waveguide by a Harmonic Current. // Comp. Math. and Math. Physics. Vol. 45, no. 12 (2005).