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OverviewThe property of maximal $L_p$-regularity for parabolic evolution equations is investigated via the concept of $\mathcal R$-sectorial operators and operator-valued Fourier multipliers. As application, we consider the $L_q$-realization of an elliptic boundary value problem of order $2m$ with operator-valued coefficients subject to general boundary conditions. We show that there is maximal $L_p$-$L_q$-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous. Full Product DetailsAuthor: Robert Denk , Matthias Hieber , Jan PrussPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: New ed. Volume: No. 166 Weight: 0.255kg ISBN: 9780821833780ISBN 10: 0821833782 Pages: 114 Publication Date: 30 September 2003 Audience: General/trade , Professional and scholarly , College/higher education , General , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable ![]() The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |