Monotonicity Formula for a Problem with Hysteresis

D. E. Apushkinskayaa,b,* and N. N. Uraltsevaa,**
Translated by N. Berestova

a St. Petersburg State University, St. Petersburg, Russia

b Saarland University, SaarbrĂĽcken, Germany

Correspondence to: *e-mail: darya@math.uni-sb.de
Correspondence to: **e-mail: uraltsev@pdmi.ras.ru

Received 5 October, 2017

Abstract—A new monotonicity formula is obtained for a problem with discontinuous nonlinearities arising in the modeling of various processes with a memory effect.

DOI: 10.1134/S1064562418010167