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Comparison Results for Parabolic Problems with Variable Exponents

  • Alexandre N. Carvalho,
  • Jacson Simsen,
  • Mariza S. Simsen

摘要

In this work we consider evolution equations with variable exponents and non-globally Lipschitz perturbation. We establish existence of global solutions and provide \(L^{\infty }\) estimates for them by using comparison results.