中文

加权混合范数Sobolev-Lipschitz空间中含时间可测拟微分算子的发展方程的正则性理论

偏微分方程分析 2024-12-17 v2

摘要

本文研究了在加权混合范数Sobolev-Lipschitz空间中,含时间可测拟微分算子的发展方程解的存在性、唯一性和正则性。我们还探讨了解的迹嵌入和连续性。

关键词

引用

@article{arxiv.2402.03609,
  title  = {A regularity theory for evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces},
  author = {Jae-Hwan Choi},
  journal= {arXiv preprint arXiv:2402.03609},
  year   = {2024}
}

备注

19 pages; The paper has been accepted for publication in "Potential Analysis"