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Stability of a von Karman equation with infinite memory
Authors:Sun-Hye PARK
Institution:Center for Education Accreditation, Pusan National University, Busan 609-735, South Korea
Abstract:In this paper, we consider a von Karman equation with infinite memory. For von Karman equations with finite memory, there is a lot of literature concerning on existence of the solutions, decay of the energy, and existence of the attractors. However, there are few results on existence and energy decay rate of the solutions for von Karman equations with infinite memory. The main goal of the present paper is to generalize previous results by treating infinite history instead of finite history.
Keywords:von Karman equation  general decay  infinite memory  35L70  35B41
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