Abstract

This paper is devoted to the study of an evolution inclusion with unbounded nonconvex valued perturbation that is driven by a time-dependent maximal monotone operator. As well the examination of the inclusion when the perturbation term is convexified. We establish the existence of solutions and the relaxation property between these evolution inclusions via the truncated Lipschitz property.

中文翻译：

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涉及时变最大单调算子的演化问题的截断扰动

摘要

本文致力于研究由时间相关最大单调算子驱动的具有无界非凸值扰动的演化包含体。以及当扰动项凸化时包含的检查。我们通过截断的 Lipschitz 性质确定了解的存在性以及这些演化包含物之间的弛豫性质。