<p>In this work we find conditions under which a <i>slowly non–dissipative</i> multivalued semiflow, defined in terms of <i>generalized semiflows</i>, has a <i>strict maximal attractor</i>. We apply our results to a differential reaction–diffusion inclusion with the multivalued Heaviside function as the nonlinear term.</p>

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Maximal attractors for multivalued semiflows

  • Matheus C. Bortolan,
  • Maritza C. A. Brito,
  • Piotr Kalita,
  • José Valero

摘要

In this work we find conditions under which a slowly non–dissipative multivalued semiflow, defined in terms of generalized semiflows, has a strict maximal attractor. We apply our results to a differential reaction–diffusion inclusion with the multivalued Heaviside function as the nonlinear term.