$/mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type

Robert Denk

Robert Denk
$/mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type [PDF ebook]

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Couverture du Robert Denk: $/mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type (PDF)

The 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.

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Format PDF ● Pages 114 ● ISBN 9781470403867 ● Maison d’édition American Mathematical Society ● Téléchargeable 3 fois ● Devise EUR ● ID 6612983 ● Protection contre la copie Adobe DRM

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