Uniform Resolvent Estimates for Magnetic Schrödinger Operators and Smoothing Effects for Related Evolution Equations

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Semiclassical resolvent estimates for Schrödinger operators with Coulomb singularities

Consider the Schrödinger operator with semiclassical parameter h, in the limit where h goes to zero. When the involved long-range potential is smooth, it is well known that the boundary values of the operator’s resolvent at a positive energy λ are bounded by O(h−1) if and only if the associated Hamilton flow is non-trapping at energy λ. In the present paper, we extend this result to the case wh...

متن کامل

Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators

We study two-dimensional magnetic Schrödinger operators with a magnetic field that is equal to b > 0 for x > 0 and −b for x < 0. This magnetic Schrödinger operator exhibits a magnetic barrier at x = 0. The unperturbed system is invariant with respect to translations in the ydirection. As a result, the Schrödinger operator admits a direct integral decomposition. We analyze the band functions of ...

متن کامل

Smoothing Estimates for Evolution Equations via Canonical Transforms and Comparison

The paper describes a new approach to global smoothing problems for dispersive and non-dispersive evolution equations based on the global canonical transforms and the underlying global microlocal analysis. For this purpose, the Egorov-type theorem is established with canonical transformations in the form of a class of Fourier integral operators, and their weighted L–boundedness properties are d...

متن کامل

Maximum-norm Stability, Smoothing and Resolvent Estimates for Parabolic Finite Element Equations

We survey work on stability and smoothing estimates in maximum-norm for spatially semidiscrete finite element approximations of a model parabolic equation, and related such estimates for the resolvent of the corresponding discrete elliptic operator. We end with a short discussion of stability of fully discrete time stepping methods. Résumé. Nous présentons un bilan des résultats sur la stabilit...

متن کامل

A ug 2 00 6 STRICHARTZ AND SMOOTHING ESTIMATES FOR SCHRÖDINGER OPERATORS WITH LARGE MAGNETIC POTENTIALS IN

We show that the time evolution of the operator H = −∆ + i(A · ∇ + ∇ · A) + V in R 3 satisfies global Strichartz and smoothing estimates under suitable smoothness and decay assumptions on A and V but without any small-ness assumptions. We require that zero energy is neither an eigenvalue nor a resonance.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences

سال: 2010

ISSN: 0034-5318

DOI: 10.2977/prims/24