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Differential Equations and Mathematical Physics

Proceedings of an International Conference held in Birmingham, Alabama, USA, March 3-8, 1986

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Ian W. Knowles
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  2. Yoshimi Saitō
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1285)

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Table of contents (52 papers)

  1. Front Matter

    Pages I-XVI
    Download chapter PDF

  2. Analytical solutions for ordinary and partial differential equations

    • G. Adomian
    Pages 1-15

  3. On the ratio of the first two eigenvalues of Schrödinger operators with positive potentials

    • Mark S. Ashbaugh, Rafael Benguria
    Pages 16-25

  4. Inverse scattering for self-adjoint nth order differential operators on the line

    • R. Beals, Percy Deift, Carlos Tomei
    Pages 26-38

  5. On the dirichlet index conjecture

    • R. C. Brown, Don Hinton
    Pages 39-45

  6. Three-dimensional inverse scattering

    • Margaret Cheney, James H. Rose, Brian DeFacio
    Pages 46-54

  7. Spectral properties of Schrodinger operators with trapping potentials in the semi-classical limit

    • J. M. Combes, Ph. Briet, P. Duclos
    Pages 55-72

  8. Discrete sets of coherent states and their use in signal analysis

    • Ingrid Daubechies
    Pages 73-82

  9. Information, uncertainty and the singular value decomposition of the filtered fourier transformation

    • B. DeFacio, O. Brander
    Pages 83-90

  10. On Schrödinger operators with von Neumann-Wigner type potentials

    • Allen Devinatz, Richard Moeckel, Peter Rejto
    Pages 91-98

  11. Nonlinear conservative systems

    • Ronald J. DiPerna
    Pages 99-109

  12. The initial value problem for the nonlinear equations for zero Mach number combustion

    • Pedro Embid
    Pages 110-118

  13. Longtime solutions for a class of convection diffusion systems

    • W. E. Fitzgibbon
    Pages 119-125

  14. A closed form for the symbol of the resolvent parametrix of an elliptic operator

    • S. A. Fulling, G. Kennedy
    Pages 126-133

  15. Existence and finite-dimensionality of attractors for the Landau-Lifschitz equations

    • Tepper L. Gill, W. W. Zachary
    Pages 134-142

  16. The coulomb potential in higher dimensions

    • Jerome A. Goldstein, Gisèle Ruiz Rieder
    Pages 143-149

  17. A regularity theorem for differential equations of constant strength

    • Gudrun Gudmundsdottir
    Pages 150-154

  18. Intermittent bifurcation of vortex flows

    • Karl Gustafson
    Pages 155-161

  19. Remarks on the Scattering problem for nonlinear Schrödinger equations

    • Nakao Hayashi, Yoshio Tsutsumi
    Pages 162-168

  20. Asymptotics of solutions and spectra of perturbed periodic Hamiltonian systems

    • D. B. Hinton, J. K. Shaw
    Pages 169-174
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Keywords

About this book

The meeting in Birmingham, Alabama, provided a forum for the discussion of recent developments in the theory of ordinary and partial differential equations, both linear and non-linear, with particular reference to work relating to the equations of mathematical physics. The meeting was attended by about 250 mathematicians from 22 countries. The papers in this volume all involve new research material, with at least outline proofs; some papers also contain survey material. Topics covered include: Schrödinger theory, scattering and inverse scattering, fluid mechanics (including conservative systems and inertial manifold theory attractors), elasticity, non-linear waves, and feedback control theory.

Bibliographic Information

  • Book Title: Differential Equations and Mathematical Physics

  • Book Subtitle: Proceedings of an International Conference held in Birmingham, Alabama, USA, March 3-8, 1986

  • Editors: Ian W. Knowles, Yoshimi Saitō

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0080575

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-18479-9Published: 21 October 1987

  • eBook ISBN: 978-3-540-47983-3Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVIII, 506

  • Topics: Analysis

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