Stability, Instability, and Direct Integrals

1st Edition

B Scarpellini

Chapman and Hall/CRC
Published January 29, 1999
Reference - 354 Pages
ISBN 9780849306853 - CAT# LM0685
Series: Chapman & Hall/CRC Research Notes in Mathematics Series

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Summary

In this masterful study, the author sets forth a unique treatment of the stability and instability of the periodic equilibria of partial differential equations as they relate to the notion of direct integrals. His results, and to a large extent his methods are new. Although he aims this work at theory rather than applications, once the theoretical framework is built, applications emerge with ease.
Readers with some basis in functional analysis-notably semigroups-and measure theory can strengthen their background through its introductory material on direct integrals and its proofs worked out in detail. In Stability, Instability and Direct Integrals, applied and pure mathematicians and theoretical physicists can discover from an acknowledged innovator the most recent results of research in this active and expanding field.

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