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<p>In this paper we study a class of abstract evolutionary equations, in which the principal operator is monotone and degenerate, besides, the nonlinear term is not locally Lipschitz on the phase space. The well-posedness of weak solutions and the existence of global attractors are testified under proper assumptions. Furthermore, we can obtain the finite-dimensionality of the global attractor in spite of the degeneracy.</p>

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Well-posedness and finite-dimensionality of attractors for a class of degenerate evolutionary equations

  • 期刊论文

  • 发表日期：

    2026年2月25日

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  • Zhijun Tang,
  • Senlin Yan,
  • Chengkui Zhong

摘要

In this paper we study a class of abstract evolutionary equations, in which the principal operator is monotone and degenerate, besides, the nonlinear term is not locally Lipschitz on the phase space. The well-posedness of weak solutions and the existence of global attractors are testified under proper assumptions. Furthermore, we can obtain the finite-dimensionality of the global attractor in spite of the degeneracy.