On existence of solutions for parabolic hemivariational inequalities

By Stanis lslash, aw Migórski. 2001

90 citations recorded by the source corpus.

Abstract A class of parabolic hemivariational inequalities is considered in which the energy function is locally Lipschitz (not necessarily convex or differentiable) and the nonlinear evolution operator is multivalued and generalized pseudomonotone. Using techniques of multivalued analysis and a surjectivity result for L-generalized pseudomonotone operators, we prove the existence for a Cauchy problem and a periodic problem. Some applications to nonsmooth mechanics are also indicated.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9c2a8838fa1cf283381cf068cdb2fef64d196302

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In Civil and Structural Engineering

  1. Zhenhai Liu

In Computational Theory and Mathematics

  1. Xiuwen Li
  2. Zhenhai Liu
  3. Shengda Zeng

In Mechanics of Materials

  1. Xiuwen Li
  2. Zhenhai Liu

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