4 research outputs found
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
WoSScopu
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