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Abstract Elliptic Equations with Integral Boundary Conditons

Abstract Elliptic Equations with Integral Boundary Conditons
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摘要 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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第4期625-642,共18页 数学年刊(B辑英文版)
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 局部积分 椭圆方程 偏微分方程 边值问题 抛物型方程 算子方程 Lp空间 柯西问题
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