Corrigendum to: Asymptotic expansion in time of the Schrödinger group on conical manifolds

Xue Ping Wang

Displaying similar documents to “Corrigendum to: Asymptotic expansion in time of the Schrödinger group on conical manifolds”

Asymptotic expansion in time of the Schrödinger group on conical manifolds

Xue Ping Wang (2006)

Annales de l’institut Fourier

Similarity:

For Schrödinger operator $P$ on Riemannian manifolds with conical end, we study the contribution of zero energy resonant states to the singularity of the resolvent of $P$ near zero. Long-time expansion of the Schrödinger group $U (t) = e^{- i t P}$ is obtained under a non-trapping condition at high energies.

Asymptotic expansion of solutions of parabolic equations with a small parameter.

Gagnidze, A. (1998)

Georgian Mathematical Journal

Similarity:

Remarks on the Fundamental Solution to Schrödinger Equation with Variable Coefficients

Kenichi Ito, Shu Nakamura (2012)

Annales de l’institut Fourier

Similarity:

We consider Schrödinger operators $H$ on $ℝ^{n}$ with variable coefficients. Let $H_{0} = - \frac{1}{2} ▵$ be the free Schrödinger operator and we suppose $H$ is a “short-range” perturbation of $H_{0}$ . Then, under the nontrapping condition, we show that the time evolution operator: $e^{- i t H}$ can be written as a product of the free evolution operator $e^{- i t H_{0}}$ and a Fourier integral operator $W (t)$ which is associated to the canonical relation given by the classical mechanical scattering. We also prove a similar result for the wave operators....