This work provides a review of the state-of-the-art in semigroups of linear and nonlinear operations and applications. In addition to short introductory course notes in the linear and nonlinear theories, many of the leading researchers in the field contributed articles which are notable for their expository emphasis. Application areas include reaction-diffusion systems, other parabolic problems, scattering theory, fluid dynamics, continuum mechanics and mathematical biology. There is much emphasis on existence results, regularity properties, asymptotics, and problems that are not well-posed in the usual sense. The text is suitable for graduate students and researchers interested in the applications of operator theory and functional analysis to differential equations. Researchers in mathematical physics and mathematical biology and control theory should benefit from the expository account of recent developments in semigroup theory motivated by the applications.
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Director's Preface. Editors' Preface. A Survey of Semigroups of Linear Operators and Applications; J.A. Goldstein. Nonlinear Semigroups and Applications; G. Ruiz Goldstein. A Bifurcation Problem for Point Interactions in L2(R3); W. Caspers, P. Clément. Semipositone Problems; A. Castro, R. Shivaji. A Generation Result for C-Regularized Semigroups; I. Cioranescu. Smoothing Properties of Heat Semigroups in Infinite Dimensions; G. Da Prato. Locally Stable Dynamics for Reaction-Diffusion Systems; W.E. Fitzgibbon, S.L. Hollis, J.J. Morgan. Global Dynamics of Singularly Perturbed Hodgkin-Huxley Equations; W. Fitzgibbon, M. Parrott, Y. You. On Strongly Elliptic Differential Operators on L1(Rn); M. Hieber. Stability and Local Invariant Manifolds in Fully Nonlinear Parabolic Equations; A. Lunardi. Fractional Integrals and Semigroups; A.C. McBride. Spectral and Asymptotic Properties of Strongly Continuous Semigroups; R. Nagel. Continuation for Quasiholomorphic Semigroups; J.W. Neuberger. Global Existence for a Reaction-Diffusion System with a Balance Law; M.Pierre, D. Schmitt. Convexity of the Growth Bound of C0-Semigroups of Operators; G.F. Webb. Index.
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Buch. Condizione: Neu. Semigroups of Linear and Nonlinear Operations and Applications | Proceedings of the Curaçao Conference, August 1992 | Jerome Goldstein (u. a.) | Buch | Einband - fest (Hardcover) | Englisch | 1993 | Springer Netherland | EAN 9780792325604 | Verantwortliche Person für die EU: Springer Netherlands, Haberstr. 7, 69126 Heidelberg, buchhandel-buch[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 107100381
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