Semigroups of Linear and Nonlinear Operations and Applications

1. Front Matter

   Pages i-8

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2. A Survey of Semigroups of Linear Operators and Applications

   • Jerome A. Goldstein

   Pages 9-57

3. Nonlinear Semigroups and Applications

   • Gisèle Ruiz Goldstein

   Pages 59-98

4. A bifurcation problem for point interactions in L2(ℝ3)

   • Wim Caspers, Philippe Clément

   Pages 99-108

5. Semipositone problems

   • Alfonso Castro, Ratnasingham Shivaji

   Pages 109-119

6. A generation result for C-regularized semigroups

   • Ioana Cioranescu

   Pages 121-128

7. Smoothing properties of heat semigroups in infinite dimensions

   • Giuseppe Da Prato

   Pages 129-141

8. Locally Stable Dynamics for Reaction Diffusion Systems

   • W. E. Fitzgibbon, S. L. Hollis, J. J. Morgan

   Pages 143-157

9. Global Dynamics of Singularly Perturbed Hodgkin-Huxley Equations

   • W. Fitzgibbon, M. Parrott, Y. You

   Pages 159-176

10. On strongly elliptic differential operators on L1(ℝn)

    • Matthias Hieber

    Pages 177-183

11. Stability and local invariant manifolds in fully nonlinear parabolic equations

    • Alessandra Lunardi

    Pages 185-203

12. Fractional Integrals and Semigroups

    • Adam C. McBride

    Pages 205-224

13. Spectral and asymptotic properties of strongly continuous semigroups

    • Rainer Nagel

    Pages 225-240

14. Continuation for Quasiholomorphic Semigroups

    • J. W. Neuberger

    Pages 241-249

15. Global existence for a reaction-diffusion system with a balance law

    • Michel Pierre, Didier Schmitt

    Pages 251-258

16. Convexity of the Growth Bound of C ₀-Semigroups of Operators

    • G. F. Webb

    Pages 259-270

17. Back Matter

    Pages 271-283

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This is the first publication which follows an agreement by Kluwer Publishers with the Caribbean Mathematics Foundation (CMF), to publish the proceedings of its mathematical activities. To which one should add a disclaimer of sorts, namely that this volume is not the first in a series, because it is not first, and be­ cause neither party to the agreement construes these publications as elements of a series. Like the work of CMF, the arrangement between it and Kluwer Publishers, evolved gradually, empirically. CMF was created in 1988, and inaugurated with a conference on Ordered Algebraic Structures. Every year since there have been gatherings on a variety of mathematical topics: Locales and Topological Groups in 1989; Positive Operators in 1990; Finite Geometry and Abelian Groups in 1991; Semigroups of Operators last year. It should be stressed, however that in preparing for the first conference, there was no plan which might have augured what came after. One could say that one thing led to another, and one would be right enough.

• Mathematica
• differential equation
• differential operator
• field
• functional analysis
• group theory
• manifold
• operator theory
• scattering theory
• semigroup
• partial differential equations

• Department of Mathematics, Louisiana State University, Baton Rouge, USA

  Gisèle Ruiz Goldstein, Jerome A. Goldstein

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