Scholarlink

Abstract <p> For a nonlinear partial differential equation of Sobolev type generalizing the equation ofvibrations of a hollow flexible rod, the Cauchy problem is studied in the space of continuousfunctions defined on the entire real line and having limits at infinity. The conditions for theexistence of a global classical solution and the blow-up of the solution of the Cauchy problem ona finite time interval are considered.</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

Blow-Up of the Solution and Global Solvability of the Cauchy Problem for the Equation of Vibrations of a Hollow Rod

  • 期刊论文

  • 发表日期：

    2025年1月1日

查看全文
  • Kh. G. Umarov

摘要

Abstract

For a nonlinear partial differential equation of Sobolev type generalizing the equation ofvibrations of a hollow flexible rod, the Cauchy problem is studied in the space of continuousfunctions defined on the entire real line and having limits at infinity. The conditions for theexistence of a global classical solution and the blow-up of the solution of the Cauchy problem ona finite time interval are considered.