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.
شكل PDF ● صفحات 114 ● ISBN 9781470403867 ● الناشر American Mathematical Society ● للتحميل 3 مرات ● دقة EUR ● هوية شخصية 6612983 ● حماية النسخ Adobe DRM
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