Evolution Equations in Scales of Banach Spaces

Lingua: inglese

Editore: Vieweg+Teubner, Vieweg+Teubner Verlag Jul 2002, 2002

3519003767 / 9783519003762

Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.

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Venditore AbeBooks dal 11 gennaio 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -The book provides a new functional-analytic approach to evolution equations by considering the abstract Cauchy problem in a scale of Banach spaces. The usual functional analytic methods for studying evolution equations are formu lated within the setting of unbounded, closed operators in one Banach space. This setting is not adapted very well to the study of many pseudo differential and differential equations because these operators are naturally not given as closed, unbounded operators in one Banach space but as continuous opera tors in a scale of function spaces. Thus, applications within the setting of unbounded, closed operators require a considerable amount of additional work because one has to construct suitable closed realizations of these operators. This choice of closed realizations is technically complicated even for simple applications. The main feature of the new functional analytic approach of the book is to study the operators in scales of Banach spaces that are constructed by simple reference operators. This is a natural setting for many operators acting in scales of function spaces. The operators are only expected to respect the scale and to satisfy certain inequalities but we can avoid completely the choice of any closed realization of these operators which is of great importance in applications. We use the mapping properties of the reference operators to prove sufficient conditions for well-posedness of linear and quasilinear Cauchy problems. In the linear, time-dependent case these conditions are shown to characterize well-posedness. A similar result in the standard setting (i. e. 309 pp. Englisch.

Codice articolo 9783519003762

Titolo
Evolution Equations in Scales of Banach Spaces
Autore
Oliver Caps
Editore
Vieweg+Teubner, Vieweg+Teubner Verlag Jul 2002
Anno di pubblicazione
2002
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3519003767
ISBN 13
9783519003762
Peso dell'articolo
542 grammi
Dimensioni
24.00x17.00x0.00 cm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 11 gennaio 2012

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 15 giorni lavorativiDa 5 a 15 giorni lavorativi
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BuchWeltWeit Ludwig Meier e.K.

Germania