Stability, Instability, and Direct Integrals: 402 (Chapman & Hall/CRC Research Notes in Mathematics Series) - Softcover

Scarpellini, B

Softcover

ISBN 10: 084930685X ISBN 13: 9780849306853

Publisher: Chapman and Hall/CRC, 1999

Synopsis

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.

About this title

Review

"introduction toreaction-diffusion systemssuitable for a newcomer to the field." Mathematical Reviews, 2000j

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1999
• Language: English
• ISBN 10: 084930685X
• ISBN 13: 9780849306853
• Binding: Paperback
• Edition number: 1
• Number of pages: 354