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Energy Decay of Solution to a Nonlinear Wave Equation of Kirchhoff Type Energy Decay of Solution to a Nonlinear Wave Equation of Kirchhoff Type

Energy Decay of Solution to a Nonlinear Wave Equation of Kirchhoff Type

  • 期刊名字：數學季刊（英文版）
  • 文件大?。?/li>
  • 論文作者：SONG Zhi-hua
  • 作者單位：Department of Mathematics
  • 更新時間：2022-11-28
  • 下載次數：次
論文簡介

The paper studies the asymptotic behavior of solution to the initial boundary value problem for a nonlinear hyperbolic equation of Kirchhoff type utt-M(kA12uk2)Au+ut-|u|αu=0. It proves the global existence of solution by constructing a stable set and the energy exponential decay estimate by applying a lemma of V Komornik.

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