Scholarlink

<p>In this work, we obtain a parabolic type equation with logarithmic nonlinearity and singular potential. We establish the local existence and global existence of solutions. Later, we consider the decay of solutions by using the Komornik’s inequality. Furthermore, we prove the blow up of solutions.</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

Existence, decay and blow up of solutions for a parabolic type equation with logarithmic nonlinearity and singular potential

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月26日

查看全文
  • Erhan Pişkin,
  • Ayşe Fidan,
  • Salah Boulaaras,
  • Rafik Guefaifia

摘要

In this work, we obtain a parabolic type equation with logarithmic nonlinearity and singular potential. We establish the local existence and global existence of solutions. Later, we consider the decay of solutions by using the Komornik’s inequality. Furthermore, we prove the blow up of solutions.