http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Spectral and scattering theory for second order partial differential operators
"The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the continuous spectrum, spectral representations, short-range and long-range scattering are summarized. In the second half, recent results: scattering of Schrodinger operators on a star graph, uniform resolvent estimates, smoothing properties and Strichartz estimates, and some applications are discussed."--Provided by publisher.
Introduction -- Second-order elliptic operators in exterior domain -- Essential spectrum of self-adjoint operators -- Statinary equations and functional identities -- Growth properties of generalized eigenfunctions -- Principle of limiting absorption and absolute continuity -- Spectral representations and scattering for short-range pertubations -- Spectral representations and scattering 2, "long-range" perturbations -- One dimensional schrödinger operators -- Uniform resolvent estimates and smoothing properties -- Scattering for time dependent perturbations -- Strichartz estimates for perturbed equations -- Another approach to growth properties of generalized Eigenfunctions.
Includes bibliographical references and index.
Monographs and research notes in mathematics