Elliptic Problems with Robin Boundary Coefficient-Operator Conditions in General L_p Sobolev Spaces and Applications
Ключевые слова:
абстрактные эллиптические дифференциальные уравнения второго порядка, граничные условия Робина, аналитическая полугруппа.Аннотация
В статье доказаны некоторые новые результаты о полных операторно-дифференциальных уравнениях эллиптического типа второго порядка с граничными операторно-коэффициентными условиями Робина в пространстве L^{p}(0,1;X) в случае, когда p in1,+infty), а X - банахово UMD-пространство. Доказано существование, единственность и оптимальная регулярность классического решения. Статья дополняет и завершает предыдущие исследования авторов по данной проблематике.Библиографические ссылки
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