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<p>We consider the nonlinear Schrödinger equations with nonlinear Neumann boundary conditions on the right half-line <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}_{+}= \left( 0,\infty \right) \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi mathvariant="double-struck">R</mi> <mo>+</mo> </msub> <mo>=</mo> <mfenced close=")" open="("> <mn>0</mn> <mo>,</mo> <mi>∞</mi> </mfenced> </mrow> </math></EquationSource> </InlineEquation>. Our purpose is to study the maximal existence time of strong solutions to the nonlinear Schrödinger equations under certain compatibility boundary conditions.</p>

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Life span of solutions to nonlinear Neumann boundary value problem for Schrödinger equations

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • Nakao Hayashi,
  • Chunhua Li

摘要

We consider the nonlinear Schrödinger equations with nonlinear Neumann boundary conditions on the right half-line \(\mathbb {R}_{+}= \left( 0,\infty \right) \) R + = 0 , ∞ . Our purpose is to study the maximal existence time of strong solutions to the nonlinear Schrödinger equations under certain compatibility boundary conditions.