一类不含阻尼项的双曲变分-半变分不等式

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC ACS Applied Electronic Materials Pub Date : 2022-01-01 DOI:10.1515/anona-2022-0237

Shengda Zeng, S. Migórski, V. T. Nguyen

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引用次数: 2

摘要

摘要在本文中，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。这些不等式同时包含凸势和局部Lipschitz超势。通过Rothe方法给出了不等式问题解的存在性、唯一性和正则性的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A class of hyperbolic variational–hemivariational inequalities without damping terms

Abstract 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.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567