Scholarlink

<p>This paper investigates a class of nonlinear equations, specifically the mass-critical inhomogeneous nonlinear fourth-order Schrödinger equation with a nonlocal source term. We establish finite- or infinite-time blowup results for solutions possessing nonpositive energy and nonradial initial data. Our analysis extends the framework developed in [4] to incorporate nonlocal source terms and complements the results of [R. Bai and T. Saanouni, Non global solutions for non-radial inhomogeneous nonlinear Schrödinger equations, <i>Electron. J. Differ. Equ.</i>, 2025:55, 2025] in the mass-critical regime.</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

Blowup of mass-critical solutions for some fourth-order generalized Hartree equations

  • 期刊论文

  • 发表日期：

    2026年4月27日

查看全文
  • Tarek Saanouni,
  • Qihong Shi

摘要

This paper investigates a class of nonlinear equations, specifically the mass-critical inhomogeneous nonlinear fourth-order Schrödinger equation with a nonlocal source term. We establish finite- or infinite-time blowup results for solutions possessing nonpositive energy and nonradial initial data. Our analysis extends the framework developed in [4] to incorporate nonlocal source terms and complements the results of [R. Bai and T. Saanouni, Non global solutions for non-radial inhomogeneous nonlinear Schrödinger equations, Electron. J. Differ. Equ., 2025:55, 2025] in the mass-critical regime.