Abstract elliptic equations with integral boundary conditons

Abstract

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

Keywords

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

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