Differential Equations with Applications to Mathematical Physics

Differential Equations with Applications to Mathematical Physics

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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.
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Product details

  • Hardback | 368 pages
  • 165.1 x 230 x 25.4mm | 654g
  • Academic Press Inc
  • San Diego, United States
  • English
  • index
  • 0120567407
  • 9780120567409

Table of contents

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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