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<p>In this paper we present certain bilinear estimates for commutators on Besov spaces with variable smoothness and integrability, and under no vanishing assumptions on the divergence of vector fields. Such commutator estimates are motivated by the study of well-posedness results for some models in incompressible fluid mechanics.</p>

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Commutator estimates for vector fields on Besov spaces with variable smoothness and integrability

  • 期刊论文

  • 发表日期：

    2025年2月17日

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  • BenMahmoud Salah

摘要

In this paper we present certain bilinear estimates for commutators on Besov spaces with variable smoothness and integrability, and under no vanishing assumptions on the divergence of vector fields. Such commutator estimates are motivated by the study of well-posedness results for some models in incompressible fluid mechanics.