Scholarlink

<p>This work is devoted to the study of an initial boundary value problem for a fourth order wave equation with weak damping, source term, and acoustic boundary conditions. Under suitable assumptions on the initial data, we prove the global existence, exponential decay and blow up of solutions with negative initial energy.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A fourth order wave equation with acoustic boundary conditions: asymptotic behavior and blow-up in finite time

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月31日

查看全文
  • Aimene Imad,
  • Nouri Boumaza,
  • Billel Gheraibia,
  • Hongwei Zhang,
  • Zayd Hajjej

摘要

This work is devoted to the study of an initial boundary value problem for a fourth order wave equation with weak damping, source term, and acoustic boundary conditions. Under suitable assumptions on the initial data, we prove the global existence, exponential decay and blow up of solutions with negative initial energy.