Differential Equations and Mathematical Physics

1. Front Matter

   Pages I-XVI

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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

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.

• Boundary value problem
• Eigenvalue
• Potential
• differential equation
• mathematical physics
• partial differential equation
• scattering theory
• wave equation

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