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<p>For the mass-supercritical nonlinear Schrödinger equation on the line, it is known that odd solutions with negative virial functional and finite variance on a threshold blow up in finite time. In the present paper, we remove the finite variance condition and show blow-up or grow-up result on the threshold.</p>

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Blow-up or grow-up for threshold odd solutions to NLS on the line

  • 期刊论文

  • 发表日期：

    2026年4月10日

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  • Takahisa Inui

摘要

For the mass-supercritical nonlinear Schrödinger equation on the line, it is known that odd solutions with negative virial functional and finite variance on a threshold blow up in finite time. In the present paper, we remove the finite variance condition and show blow-up or grow-up result on the threshold.