Scholarlink

<p>This paper is devoted to the study of the global existence and blow-up for a class of pseudo-parabolic equation. We first obtain two new proofs for the blow-up results which only depends on Nehari functional but not on energy levels, the present methods may be more applicable to relevant systems. Then, we give the exact blow-up rate and a new upper bound of the blow-up time for the problem, which improves a recent existing conclusion. Finally, we built a new global boundedness result under an explicit small data which is also independent of initial energy. Through these research, we propose a new insight about the condition which generates the global bounded solution or finite time blow-up solution.</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

Some New Results on the Global Existence and Blow-Up for a Class of Pseudo-parabolic Equation

  • 期刊论文

  • 发表日期：

    2025年2月16日

查看全文
  • Kailun Wang,
  • Guangyu Xu

摘要

This paper is devoted to the study of the global existence and blow-up for a class of pseudo-parabolic equation. We first obtain two new proofs for the blow-up results which only depends on Nehari functional but not on energy levels, the present methods may be more applicable to relevant systems. Then, we give the exact blow-up rate and a new upper bound of the blow-up time for the problem, which improves a recent existing conclusion. Finally, we built a new global boundedness result under an explicit small data which is also independent of initial energy. Through these research, we propose a new insight about the condition which generates the global bounded solution or finite time blow-up solution.