Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data

We develop direct and inverse scattering theory for Jacobi operators (doubly infinite second order difference operators) with steplike coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients on different sides. We give necessary and sufficient conditions for the scattering data in the case of perturbations with finite second (or higher) moment.Comment: 23 page

Existence Of A Global Attractor For The Parabolic Equation With Nonlinear Laplacian Principal Part In An Unbounded Domain

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Existence Of A Global Attractor For The Plate Equation With A Critical Exponent In An Unbounded Domain

In this work, we study the asymptotic behavior of solutions for the plate equation with a critical exponent in R-n. We prove the existence of a global attractor in W-2(2)(R-n) x L-2(R-n). (c) 2005 Elsevier Ltd. All rights reserved