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<p>In this work, we study a backward in time version of a third order parabolic partial differential equation. Spatio-temporal decay estimates are obtained assuming some conditions on the coefficients of the equation and by using a technical lemma. Some particular cases where this equation can be found in applied mathematics are shown. </p>

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Spatio-temporal decay estimates for third order parabolic backward in time PDE

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月15日

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  • José R. Fernández,
  • Ramón Quintanilla

摘要

In this work, we study a backward in time version of a third order parabolic partial differential equation. Spatio-temporal decay estimates are obtained assuming some conditions on the coefficients of the equation and by using a technical lemma. Some particular cases where this equation can be found in applied mathematics are shown.