$mathcal{R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type (Memoirs of the American Mathematical Society) - Softcover

Denk, Robert; Hieber, Matthias; Pruss, Jan

 
9780821833780: $mathcal{R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821833782 ISBN 13: 9780821833780
Publisher: American Mathematical Society, 2003

Synopsis

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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Publisher
American Mathematical Society
Publication date
2003
Language
English
ISBN 10 
0821833782
ISBN 13 
9780821833780
Binding
Paperback
Number of pages
114