This book provides a useful review of the current state of the art in semigroups of linear and nonlinear operators 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, mathematical biology. There is much emphasis on existence results, regularity properties, asymptotics, and problems that are not well-posed in the usual sense. 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 will profit from the expository account of recent developments in semigroup theory motivated by the applications.
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. Clement. 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.
Series: Proceedings of the Curacao Conference, August 1992
Number Of Pages: 283
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6
Weight (kg): 0.59