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<p>We consider the nonlinear Schrödinger equation with double power nonlinearity. We extend the scattering result in [<CitationRef CitationID="CR18">18</CitationRef>] for all <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="30_2025_1029_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>-supercritical powers, specially, our results adapt to the cases of energy-supercritical nonlinearity.</p>

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Mass-energy scattering criterion for double power Schrödinger equations

  • 期刊论文

  • 发表日期：

    2025年2月22日

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  • Thomas Duyckaerts,
  • Phan Van Tin

摘要

We consider the nonlinear Schrödinger equation with double power nonlinearity. We extend the scattering result in [18] for all \(L^2\) L 2 -supercritical powers, specially, our results adapt to the cases of energy-supercritical nonlinearity.