Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations

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Abstract

We discuss the optimality of the decay estimate of the mixed problem (MP) for semilinear hyperbolic equations of the type of the Euler-Poisson-Darboux equation. For this purpose we investigate decay properties and the lower bounds of the solutions to a boundary value problem related to (MP) as t → ∞.

Original languageEnglish
Pages (from-to)59-74
Number of pages16
JournalCommunications on Pure and Applied Analysis
Volume3
Issue number1
DOIs
Publication statusPublished - 03-2004

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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