R-Boundedness, Fourier Multipliers, and Problems of Elliptic and Parabolic Type - Couverture souple

Denk, Robert; Hieber, Matthias; Pruss, Jan

 
9780821833780: R-Boundedness, Fourier Multipliers, and Problems of Elliptic and Parabolic Type
Couverture souple
ISBN 10 : 0821833782 ISBN 13 : 9780821833780
Editeur : 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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Éditeur
American Mathematical Society
Date d'édition
2003
Langue
anglais
ISBN 10 
0821833782
ISBN 13 
9780821833780
Reliure
Broché
Nombre de pages
114
Coordonnées du fabricant
non disponible
Personne responsable
non disponible