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<p>We consider solutions of the Cauchy problem for semilinear equations with (possibly) different Lévy operators. We provide various results on their convergence under the assumption that symbols of the involved operators converge to the symbol of some Lévy operator. Some results are proved for a more general class of pseudodifferential operators.</p>

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Stability of solutions of semilinear evolution equations with integro-differential operators

  • 期刊论文

  • 发表日期：

    2026年2月13日

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  • Andrzej Rozkosz,
  • Leszek Słomiński

摘要

We consider solutions of the Cauchy problem for semilinear equations with (possibly) different Lévy operators. We provide various results on their convergence under the assumption that symbols of the involved operators converge to the symbol of some Lévy operator. Some results are proved for a more general class of pseudodifferential operators.