关于Dubinskii非线性紧嵌入定理的思考
Reflections on Dubinskii's nonlinear compact embedding theorem
摘要：
我们提出了一个由朱的结果的概述。A. Dubinskii [Mat. Sb.67（109）（1965）;翻译于Amer. Math. Soc. Transl. (2)67（1968）]，关于赋范集在$L^p(0,T; \mathcal{A}_0)$中的紧嵌入，其中$\mathcal{A}_0$是巴拿赫空间，而$p \in [1,\infty]$是Banach空间;我们建立了Dubinskii定理的一个变体，其中用赋范非负锥代替赋范集; Maitre [Int. J. Math. Math. Sci. 27（2003）]。
英文摘要：
We present an overview of a result by Ju. A. Dubinskii [Mat. Sb. 67 (109) (1965); translated in Amer. Math. Soc. Transl. (2) 67 (1968)], concerning the compact embedding of a seminormed set in $L^p(0,T; \mathcal{A}_0)$, where $\mathcal{A}_0$ is a Banach space and $p \in [1,\infty]$; we establish a variant of Dubinskii's theorem, where a seminormed nonnegative cone is used instead of a seminormed set; and we explore the connections of these results with a nonlinear compact embedding theorem due to E. Maitre [Int. J. Math. Math. Sci. 27 (2003)].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
