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<p>This paper presents a numerical verification procedure for a norm bound on an infinite-dimensional differential operator. The operator comes from a nonlinear ordinary differential equation involved with self-similar blowup in wave equations and has a singular term. Our procedure was inspired by a result of Bünger and Rump (Inter. Equ. Oper. Theory, 2019), which it generalizes. Concrete verification examples reveal the effectiveness of the proposed approach.</p>

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Efficient numerical verification procedure of norm bound for infinite-dimensional differential operator with singular term

  • 期刊论文

  • 发表日期：

    2026年2月18日

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  • Kenta Kobayashi,
  • Yoshitaka Watanabe

摘要

This paper presents a numerical verification procedure for a norm bound on an infinite-dimensional differential operator. The operator comes from a nonlinear ordinary differential equation involved with self-similar blowup in wave equations and has a singular term. Our procedure was inspired by a result of Bünger and Rump (Inter. Equ. Oper. Theory, 2019), which it generalizes. Concrete verification examples reveal the effectiveness of the proposed approach.