A class of evolution variational inequalities with nonconvex constraints
A class of evolution variational inequalities with nonconvex constraints
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一类具有非凸约束的演化变分不等式
DOI：
10.1080/02331934.2018.1476861
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发表时间：
--
期刊：
影响因子：
2.2
通讯作者：
A. Ochal
中科院分区：
文献类型：
--
作者：
彭自嘉;L. Leszek;S. Migorski;A. Ochal
摘要研究了有限个凸集并的集合的非凸约束发展问题。该问题推广了经典的第二类抛物型变分不等式，并含有L型算子。利用变分-半变分不等式方法、自反Banach空间中多值伪单调算子的满射性定理和惩罚方法证明了该问题解的存在性.
ABSTRACT We study a nonconvex constrained evolution problem for a set being the union of a finite number of convex sets. The problem generalizes the classical parabolic variational inequality of the second kind and contains an operator of L--type. The existence result for this problem is proved using a variational-hemivariational inequality approach, a surjectivity theorem for multivalued pseudomonotone operators in a reflexive Banach space and a penalization method in which a small parameter does not have to tend to zero.