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Equations Differentielles Operationnelles: Et Problemes Aux Limites by Jacques Louis Lions (Paperback / softback)

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Product Information

Dans un espace de BANACH H soit A(t) une famille d'operateurs n bornes, tE [0, TJ pour fixer les idees. On appelle equation difterentielle operationneUe (lineaire) une equation de la forme A(t)u(t)]u'(t) =f(t), la fonction f Hant donnee continue de [0, TJ dans H, la fonction u Hant une fois continument differentiable dans [0, TJ a valeurs dans H, u(t) appartenant a D(A(t)) (domaine de A(t)) pour chaque tE[O, T]. Les exemples les plus importants sont ceux Oll A(t) est un systeme differentiel, le domaine de A(t) Hant alors fixe par des conditions aux limites. Le probleme de CAUCHY consiste a trouver une solution de (*), verifiant la condition initiale u(O) = u, U donne (dans D(A(O))). o o Mais il est classique que, pour bien des applications, le probleme pose sous la forme precedente impose des conditions trop restrictives a u. Il faut introduire alors la tion de solution faible de ce probleme; il y a un tres grand mbre de telles tions; une classification en est donnee au Chap. 1. Les Chap. IV, V, VII, IX, X donnent diverses con ditions suffisantes portant sur les A (t) pour que tel ou tel probleme faible admette une solution et une seule; on y Hudie la regularite de ces solutions, et les meilleurs domaines Oll l' on doit prendre les donnees initiales.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-10
3662237407
ISBN-13
9783662237403
eBay Product ID (ePID)
209085335

Product Key Features

Author
Jacques Louis Lions
Format
Trade Paperback (US) ,Unsewn / Adhesive Bound, Paperback
Language
German
Subject
Mathematics

Dimensions

Weight
463g
Height
235mm
Width
155mm

Additional Product Features

Place of Publication
Berlin
Spine
16mm
Series Part/Volume Number
111
Series Title
Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover)
Content Note
Black & White Illustrations, Bibliography
Imprint
Springer-Verlag Berlin and Heidelberg Gmbh & Co. K
Genre
Mathematics
Country of Publication
Germany

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