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

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  • Takahisa Inui

    (The University of Osaka, Department of Mathematics, Graduate School of Science)

Abstract

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.

Suggested Citation

  • Takahisa Inui, 2026. "Blow-up or grow-up for threshold odd solutions to NLS on the line," Partial Differential Equations and Applications, Springer, vol. 7(3), pages 1-15, June.
    • Handle: RePEc:spr:pardea:v:7:y:2026:i:3:d:10.1007_s42985-026-00374-1
    DOI: 10.1007/s42985-026-00374-1
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    References listed on IDEAS

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    1. Stephen Gustafson & Takahisa Inui, 2022. "Threshold odd solutions to the nonlinear Schrödinger equation in one dimension," Partial Differential Equations and Applications, Springer, vol. 3(4), pages 1-45, August.
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