Asymptotic behaviour of the energy for electromagnetic systems with memory

摘要

Some linear evolution problems arising in the theory of hereditary electromagnetism are considered here. Making use of suitable Liapunov functionals, existence of solutions as well as asymptotic behaviour, are determined for rigid conductors with electric memory. In particular, we show the polynornially decay of the solutions, when the memory kernel decays exponentially or polynomially. Copyright (C) 2004 John Wiley Sons, Ltd.