Scholarlink

In this study, we present the blow-up behavior of the solution to a pseudo-parabolic equation on stratified groups using the concavity method. Specifically, we establish the energy function and determine the blow-up time for both the non-positive and positive cases, using the \(H_0^1\) -norm of the initial condition \(u_0\) . Our findings contribute not only to a deeper understanding of this model on stratified groups but also extend the existing knowledge in the classical Euclidean space.

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 Solutions for Pseudo-Parabolic Equation with m-Sub-Laplacian Operators

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Azizbek Mamanazarov,
  • Khumoyun Jabbarkhanov

摘要

In this study, we present the blow-up behavior of the solution to a pseudo-parabolic equation on stratified groups using the concavity method. Specifically, we establish the energy function and determine the blow-up time for both the non-positive and positive cases, using the \(H_0^1\) -norm of the initial condition \(u_0\) . Our findings contribute not only to a deeper understanding of this model on stratified groups but also extend the existing knowledge in the classical Euclidean space.