Abstract Elliptic Equations with Integral Boundary Conditons

作者：Shakhmurov Veli^*

来源：Chinese Annals of Mathematics Series B, 2016, 37(4): 625-642.

DOI：10.1007/s11401-016-0948-6

• Boundary value problems
• Integral boundary conditions
• Differential-operator equations
• Maximal L-p regularity
• Abstract parabolic equation
• Operator valued multipliers
• Interpolation of Banach spaces
• Semigroups of operators

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.

• 出版日期2016-7