In this article, we study a large class of evolutionary variational–hemivariational inequalities of hyperbolic type without damping terms, in which the functional framework is considered in an evolution triple of spaces. The inequalities contain both a convex potential and a locally Lipschitz superpotential. The results on existence, uniqueness, and regularity of solution to the inequality problem are provided through the Rothe method.

中文翻译：

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一类无阻尼项的双曲变分-半变分不等式

在这篇文章中，我们研究了一大类没有阻尼项的双曲型进化变分-半变分不等式，其中函数框架被考虑在空间的进化三元组中。不等式包含凸势和局部 Lipschitz 超势。通过Rothe方法提供了不等式问题解的存在性、唯一性和规律性的结果。