Maximal B-regular integro-differential equation

Abstract

By using Fourier multiplier theorems, the maximal B-regularity of ordinary integro-differential operator equations is investigated. It is shown that the corresponding differential operator is positive and satisfies coercive estimate. Moreover, these results are used to establish maximal regularity for infinite systems of integro-differential equations.

Keywords

Banach-valued Besov spaces / Operator-valued multipliers / Boundary value problems / Integro-differential equations

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