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In this article we are concerned with the existence and uniqueness of strong global solutions and exponential decay of solutions in \(H^2(a,b)\) and \(H^3(a,b)\) norms, for a parabolic equation with local and non-local terms.

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Theoretical Analysis of a Parabolic Equation with Nonlocal Terms

  • 会议论文

  • 发表日期：

    2026年

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  • Juan P. D. Límaco,
  • Mauro A. Rincon,
  • Pitágoras P. Carvalho,
  • Juan B. L. Ferrel

摘要

In this article we are concerned with the existence and uniqueness of strong global solutions and exponential decay of solutions in \(H^2(a,b)\) and \(H^3(a,b)\) norms, for a parabolic equation with local and non-local terms.