一类不含阻尼项的双曲变分-半变分不等式

IF 3.2 1区数学 Q1 MATHEMATICS Advances in Nonlinear Analysis 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

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.