具有指定跳跃行为的扫描过程
Sweeping processes with prescribed behaviour on jumps
摘要:
我们提出了一个推广的制定扫描过程的行为的解决方案是规定在跳跃点的驱动移动集。证明了该公式的存在唯一性定理。因此,我们推导出一个配方和存在/唯一性定理的任意BV移动集,其演变不一定是右连续驱动的清扫过程。弹塑性播放运营商的应用程序也示出。
英文摘要:
We present a generalized formulation of sweeping process where the behaviour of the solution is prescribed at the jump points of the driving moving set. An existence and uniqueness theorem for such formulation is proved. As a consequence we derive a formulation and an existence/uniqueness theorem for sweeping processes driven by an arbitrary BV moving set, whose evolution is not necessarily right continuous. Applications to the play operator of elastoplasticity are also shown.
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