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The aim of this paper is to address the asymptotic behavior of a reaction-diffusion equation driven by a jumping nonlinearity. Providing some conditions in the nonlinear terms, we ensure that the equation is a slowly non-dissipative equation, i.e., blow-up occurs but only in infinite time.

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Slowly Non-dissipative Reaction–Diffusion Equations with a Jumping Nonlinearity

  • 章节

  • 发表日期：

    2026年

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  • Julia do Prado Pazzini,
  • Juliana Fernandes da Silva,
  • Juliana Honda Lopes

摘要

The aim of this paper is to address the asymptotic behavior of a reaction-diffusion equation driven by a jumping nonlinearity. Providing some conditions in the nonlinear terms, we ensure that the equation is a slowly non-dissipative equation, i.e., blow-up occurs but only in infinite time.