期刊论文

Liu, ZH

中文

应用数学和力学：英文版

0253-4827

2000

21

9

1045-1052

10.3321/j.issn:1000-0887.2000.09.009

* Received date: 1998-12-27; Revised date: 2000-04-15 Foundation item: the Foundation of State Educational Committee of China for Returned Scholars from Abroad; Natural Science Foundation of Hunan Province (98JJY2053) Biography: LIU Zhen-hai (1958-), Professor, Doctor

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研究一类拟线性抛物型H-半变分不等式,即研究具有非凸、非光滑泛函的抛物型变分不等式.这类问题的研究来自力学.利用Clarke广义梯度和伪单调算子理论,证明了一类拟线性抛物型H-半变分不等式解的存在性.

Quasilinear parabolic hemivariational inequalities as a generalization to nonconvex functions of the parabolic variational inequalities are discussed. This extension is strongly motivated by various problems in mechanics. By use of the notion of the generalized gradient of Clarke and the theory of pseudomonotone operators, it is pr...