Differential Equations of Elliptic Type with Variable Operators and Homogeneous Robin Boundary Value Condition in UMD Spaces

В этой статье мы изучаем абстрактное дифференциальное уравнение эллиптического типа второго порядка с переменными операторными коэффициентами и общими граничными условиями Робина в основе UMD пространств. Результаты существования и регулярности получаются когда предположение Лаббаса - Террени выполняется с использованием теории полугрупп и интерполяционных пространств.

Ключевые слова

граничные условия Робина; аналитическая полугруппа; максимальная регулярность; Данфорд операционное исчисление.

Литература

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