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关于随机线性算子的C_0-半群(英文)
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作者 张霞 《应用泛函分析学报》 CSCD 2012年第1期32-39,共8页
首先对几乎处处有界的随机线性算子的C_0-半群{B(t):t≥0}利用L^0-范数的转化技巧给出一个特殊的性质.然后,基于这一性质,对与{B(t):t≥0}的随机无穷小生成元相关的一些重要的性质进行了研究,并改进了近期文献中一些已知的结果.
关键词 随机赋范模 λ)-拓扑 随机线性算子 随机线性算子的C_0-半群 随机无穷小生成元
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Abstract Elliptic Equations with Integral Boundary Conditons
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作者 Veli SHAKHMUROV 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第4期625-642,共18页
This paper focuses on nonlocal integral boundary value problems for elliptic differential-operator equations. Here given conditions guarantee that maximal regularity and Fredholmness in L_p spaces. These results are a... This paper focuses on nonlocal integral boundary value problems for elliptic differential-operator equations. Here given conditions guarantee that maximal regularity and Fredholmness in L_p spaces. These results are applied to the Cauchy problem for abstract parabolic equations, its infinite systems and boundary value problems for anisotropic partial differential equations in mixed L_p norm. 展开更多
关键词 Boundary value problems Integral boundary conditions Differential-operator equations Maximal Lp regularity Abstract parabolic equation Operator valued multipliers Interpolation of Banach spaces semigroupsof operators
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