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

Denk, Robert; Hieber, Matthias; Pruss, Jan

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.

Détails de l'édition

• 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