ON A FINITE TIME INTERVAL STABILITY FOR THE ONE-DIMENSIONAL MICROWAVE HEATING PROBLEM
In this paper the microwave heating problem with homogeneous material in one-space dimension is considered. Stability on a ﬁnite time interval for this problem is investigated. Suﬃcient conditions for such a stability using auxiliary functions are derived. For the one-dimensional microwave heating problem these functions including a Lyapunov functional, are given in explicit form. Refs 7.