In this volume in the "Mathematics in Science and Engineering" series, contributors from North America, Europe and Japan present articles at the forefront of research in differential equational and mathematical physics. Topics covered include nonlinear differential and integral equations, semiclassical quantum mechanics, spectral and scattering theory, and symmetry analysis. This book should be of interest to researchers in nonlinear mathematics, partial differential equations and mathematical physics.
An elementary model of dynamical tunnelling, J. Asch and P. Duclos;
discrete Schrodinger, operators with potentials generated by substitutions,
J. Bellissard, et al; wave packets localized on closed classical
trajectories, S. De Bievre, et al; lower bounds on eigenfunctions and the
first eigenvalue gap, R.M. Brown, et al; nonlinear volterra integral
equations and the Apery identities, P.J. Bushell and W. Okrasinski;
connections between quantum dynamics and spectral properties of time -
evolution operators, J.-M. Combes; quasilinear reaction diffusion models for
exothermic reaction, W.E. Fitzgibbon and C.B. Martin; a maximum principle for
linear cooperative elliptic systems, J. Fleckinger, et al; exact solutions to
flows in fluid-filled elastic tubes, D. Fusco and N. Manganaro; spectral
deformations and soliton equations, F. Gesztesy and R. Weikard; nuclear
cusps, magnetic fields and the Lavrentiev phenomenon in Thomas-Germi theory,
G.R. Goldstein, et al; on Shrodinger equation in large dimension and
connected problems in statistical mechanics, B. Helffer; regularity of
solutions for singular Schrodinger equations, A.M. Hinz; linearization of
ordinary differential equations, N.H. Ibragimov; expansion of continuous
spectrum operators in terms of eigenprojections, R.M. Kauffman; on unique
continuation theorem for uniformly elliptic equations with strongly singular
potentials, K. Kurata; topics in spectral methods in numerical computation -
product formulas, S.T. Kuroda; atoms in the magnetic field of a neutron star,
E.H. Lieb and J.P. Solovej; algebraic Riccati equations arising in game
theory and in Hoo - control problems for a class of abstract systems, C.
McMillan and R. Triggiani; symmetries and symbolic computation, M.C. Nucci;
on stabilizing ill-posed Cauchy problems for the Navier-Stokes equations,
L.E. Payne; Evans' functions, Melnikov's integral, and solitary wave
instabilities, R.L. Pego and M.I. Weinstein; ground states of degenerate
quasilinear equations, J. Serrin and H. Zou; gradient estimates,
rearrangements and symmetries, G. Talenti; purely nonlinear norm spectra and
multidimensional solitary waves, H.A. Warchall; on Gelfand-Dickey systems and
inelastic solitons, R. Weikard; inertial manifolds and stabilization in
nonlinear elastic systems with structural damping, Y. You.
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