Cho, Yeol Je (ed.), Differential equations and applications. Proceedings of the international conference on mathematical analysis and applications, Chinju, China, August 3-4, 1998. Huntington, NY: Nova Science Publishers. 157-169 (2000).
Let and be two real separable Hilbert spaces such that is a dense subspace of . Let the single-valued operator be given which is hemicontinuous and coercive from to . Here, stands for the dual space of . Let be a lower semicontinuous proper convex function. The authors study the existence, uniqueness and a variation of solution to the following initial value problem
where is Lipschitz continuous, and is the subdifferential multivalued operator of defined by
where denotes the duality pairing between and .