Differential Equations and Mathematical Physics: Proceedings of an International Conference held in Birmingham, Alabama, USA March 3–8, 1986

Analytical solutions for ordinary and partial differential equations....Pages 1-15
On the ratio of the first two eigenvalues of Schrödinger operators with positive potentials....Pages 16-25
Inverse scattering for self-adjoint n th order differential operators on the line....Pages 26-38
On the dirichlet index conjecture....Pages 39-45
Three-dimensional inverse scattering....Pages 46-54
Spectral properties of Schrodinger operators with trapping potentials in the semi-classical limit....Pages 55-72
Discrete sets of coherent states and their use in signal analysis....Pages 73-82
Information, uncertainty and the singular value decomposition of the filtered fourier transformation....Pages 83-90
On Schrödinger operators with von Neumann-Wigner type potentials....Pages 91-98
Nonlinear conservative systems....Pages 99-109
The initial value problem for the nonlinear equations for zero Mach number combustion....Pages 110-118
Longtime solutions for a class of convection diffusion systems....Pages 119-125
A closed form for the symbol of the resolvent parametrix of an elliptic operator....Pages 126-133
Existence and finite-dimensionality of attractors for the Landau-Lifschitz equations....Pages 134-142
The coulomb potential in higher dimensions....Pages 143-149
A regularity theorem for differential equations of constant strength....Pages 150-154
Intermittent bifurcation of vortex flows....Pages 155-161
Remarks on the Scattering problem for nonlinear Schrödinger equations....Pages 162-168
Asymptotics of solutions and spectra of perturbed periodic Hamiltonian systems....Pages 169-174
Behavior of eigenfunctions and the spectrum of Schrödinger operators....Pages 175-179
Shape resonances in quantum mechanics....Pages 180-196
Random perturbation theory and quantum chaos....Pages 197-204
Path integral for a Weyl quantized relativistic Hamiltonian and the nonrelativistic limit problem....Pages 205-210
Scattering with penetrable wall potentials....Pages 211-214
Commutator methods and asymptotic completeness for a new class of stark effect Hamiltonians....Pages 215-221
Asymptotics of the Titchmarsh-Weyl m -coefficient for integrable potentials, II....Pages 222-229
On the difference between eigenvalues of Sturm-Liouville operators and the semi-classical limit....Pages 230-235
Finite element approximation to singular minimizers, and applications to cavitation in non-linear elasticity....Pages 236-247
On relating generalized expansions to fourier integrals....Pages 248-255
Link between periodic pctentials and random potentials in one-dimensional Schrödinger operators....Pages 256-269
Undressing of odd pseudodifferential operators....Pages 270-275
Some mathematical aspects of the wavemaker theory....Pages 276-281
Integro-differential equations associated with piecewise deterministic processes....Pages 282-289
Ambrosetti-Prodi type results in nonlinear boundary value problems....Pages 290-313
Transmutation of analytic and harmonic functions....Pages 314-319
Some solved and unsolved canonical problems of diffraction theory....Pages 320-336
Runge-Kutta schemes and numerical instabilities: The logistic equation....Pages 337-341
Structure of positive solutions to (−Δ+V) u=0 in R n ....Pages 342-347
An extension of Lavine\'s formula for time-delay....Pages 348-351
Some open questions in multi-dimensional inverse problems....Pages 352-360
Radially symmetric solutions of a Monge-Ampère equation arising in a reflector mapping problem....Pages 361-374
Scattering theory for the wave equation on a hyperbolic manifold....Pages 375-390
On unsteady flow in a two-dimensional cascade with in-passage shocks....Pages 391-402
On the absorption of singularities in dissipative nonlinear equations....Pages 403-407
Feedback control for an abstract parabolic equation....Pages 408-416
Approximate solution of random differential equation....Pages 417-425
Geometric properties and bounds for positive solutions of semilinear elliptic equations....Pages 426-434
Asymptotic completeness of multiparticle scattering....Pages 435-472
On a multi-dimensional inverse problem related to the Gel\'fand-Levitan theory....Pages 473-479
Fundamental solution of the Poisson-Boltzmann equation....Pages 480-485
Examples of exponential decay of eigenfunctions of mangetic Schrödinger operators....Pages 486-492
Spatially localized free vibrations of certain semilinear wave equations on ℝ 2 : Recent results and open problems....Pages 493-499