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。
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"