In this paper we study microlocal singularities of solutions to Schrodinger<br />
equations on scattering manifolds, i.e., noncompact Riemannian manifolds with<br />
asymptotically conic ends. We characterize the wave front set of the solutions<br...
This paper is a continuation of a previous paper by the same authors, where<br />
an analytic smoothing effect was proved for long-range type perturbations of<br />
the Laplacian on . In this paper, we consider short-range type<br />
...
We consider Schr\"odinger equations with variable coefficients, and it is<br />
supposed to be a long-range type perturbation of the flat Laplacian on .<br />
We characterize the wave front set of solutions to Schr\"odinger equation...
D Hundertmark R Killip S Nakamura P Stollmann Veselic, I
COMMUNICATIONS IN MATHEMATICAL PHYSICS 262(2) 489-503 2006年3月
We study spectra of Schrodinger operators on R-d. First we consider a pair of operators which differ by a compactly supported potential, as well as the corresponding semigroups. We prove almost exponential decay of the singular values mu(n) of the...
人文科学研究科
理学部