Title | Differential Equations and Mathematical Physics [electronic resource] : Proceedings of an International Conference held in Birmingham, Alabama, USA March 3-8, 1986 / edited by Ian W. Knowles, Yoshimi Saitล |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1987 |
Connect to | http://dx.doi.org/10.1007/BFb0080575 |
Descript | XVIII, 506 p. online resource |
Analytical solutions for ordinary and partial differential equations -- On the ratio of the first two eigenvalues of Schrรถdinger operators with positive potentials -- Inverse scattering for self-adjoint nth order differential operators on the line -- On the dirichlet index conjecture -- Three-dimensional inverse scattering -- Spectral properties of Schrodinger operators with trapping potentials in the semi-classical limit -- Discrete sets of coherent states and their use in signal analysis -- Information, uncertainty and the singular value decomposition of the filtered fourier transformation -- On Schrรถdinger operators with von Neumann-Wigner type potentials -- Nonlinear conservative systems -- The initial value problem for the nonlinear equations for zero Mach number combustion -- Longtime solutions for a class of convection diffusion systems -- A closed form for the symbol of the resolvent parametrix of an elliptic operator -- Existence and finite-dimensionality of attractors for the Landau-Lifschitz equations -- The coulomb potential in higher dimensions -- A regularity theorem for differential equations of constant strength -- Intermittent bifurcation of vortex flows -- Remarks on the Scattering problem for nonlinear Schrรถdinger equations -- Asymptotics of solutions and spectra of perturbed periodic Hamiltonian systems -- Behavior of eigenfunctions and the spectrum of Schrรถdinger operators -- Shape resonances in quantum mechanics -- Random perturbation theory and quantum chaos -- Path integral for a Weyl quantized relativistic Hamiltonian and the nonrelativistic limit problem -- Scattering with penetrable wall potentials -- Commutator methods and asymptotic completeness for a new class of stark effect Hamiltonians -- Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials, II -- On the difference between eigenvalues of Sturm-Liouville operators and the semi-classical limit -- Finite element approximation to singular minimizers, and applications to cavitation in non-linear elasticity -- On relating generalized expansions to fourier integrals -- Link between periodic pctentials and random potentials in one-dimensional Schrรถdinger operators -- Undressing of odd pseudodifferential operators -- Some mathematical aspects of the wavemaker theory -- Integro-differential equations associated with piecewise deterministic processes -- Ambrosetti-Prodi type results in nonlinear boundary value problems -- Transmutation of analytic and harmonic functions -- Some solved and unsolved canonical problems of diffraction theory -- Runge-Kutta schemes and numerical instabilities: The logistic equation -- Structure of positive solutions to (??+V) u=0 in Rn -- An extension of Lavine's formula for time-delay -- Some open questions in multi-dimensional inverse problems -- Radially symmetric solutions of a Monge-Ampรจre equation arising in a reflector mapping problem -- Scattering theory for the wave equation on a hyperbolic manifold -- On unsteady flow in a two-dimensional cascade with in-passage shocks -- On the absorption of singularities in dissipative nonlinear equations -- Feedback control for an abstract parabolic equation -- Approximate solution of random differential equation -- Geometric properties and bounds for positive solutions of semilinear elliptic equations -- Asymptotic completeness of multiparticle scattering -- On a multi-dimensional inverse problem related to the Gel'fand-Levitan theory -- Fundamental solution of the Poisson-Boltzmann equation -- Examples of exponential decay of eigenfunctions of mangetic Schrรถdinger operators -- Spatially localized free vibrations of certain semilinear wave equations on ?2: Recent results and open problems