Linear and Quasi-linear Evolution Equations in Hilbert Spaces

Lingua: inglese

Editore: American Mathematical Society, US, 2012

1470471442 / 9781470471446

Serie: Libro 113 di 190 - Graduate Studies in Mathematics

Da: Rarewaves.com UK, London, Regno UnitoRarewaves.com UK

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This book considers evolution equations of hyperbolic and parabolic type. These equations are studied from a common point of view, using elementary methods, such as that of energy estimates, which prove to be quite versatile. The authors emphasize the Cauchyproblem and present a unified theory for the treatment of these equations. In particular, they provide local and global existence results, as well as strong well-posedness and asymptotic behavior results for the Cauchy problem for quasi-linear equations. Solutions of linear equations are constructed explicitly, using the Galerkin method; the linear theory is then applied to quasi-linear equations, by means of a linearization and fixed-point technique. The authors also compare hyperbolic and parabolic problems, both in terms of singular perturbations, on compact time intervals, and asymptotically, in terms of the diffusion phenomenon, with new results on decay estimates for strong solutions of homogeneous quasi-linear equations of each type.This textbook presents a valuable introduction to topics in the theory of evolution equations, suitable for advanced graduate students. The exposition is largely self-contained. The initial chapter reviews the essential material from functional analysis. New ideas are introduced along with their context. Proofs are detailed and carefully presented. The book concludes with a chapter on applications of the theory to Maxwell's equations and von Karman's equations.…

Codice articolo LU-9781470471446

Titolo
Linear and Quasi-linear Evolution Equations in Hilbert Spaces
Autore
Albert Milani, Pascal Cherrier
Editore
American Mathematical Society, US
Anno di pubblicazione
2012
Condizione
New
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1470471442
ISBN 13
9781470471446
Serie
Libro 113 di 190: Graduate Studies in Mathematics

Rarewaves.com UK

London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 11 giugno 2025

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ArticoloDa 60 a 60 giorni lavorativiDa 60 a 60 giorni lavorativi
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