Asymptotic expansion in time of the Schrödinger group on conical manifolds

Xue Ping Wang[1]

  • [1] Université de Nantes Laboratoire Jean Leray UMR 6629 du CNRS Département de Mathématiques 44322 Nantes Cedex 3 (France)

Annales de l’institut Fourier (2006)

  • Volume: 56, Issue: 6, page 1903-1945
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Wang, Xue Ping. "Asymptotic expansion in time of the Schrödinger group on conical manifolds." Annales de l’institut Fourier 56.6 (2006): 1903-1945. <http://eudml.org/doc/10194>.

@article{Wang2006,
abstract = {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 $U(t) = \{\rm e\}^\{-it P\}$ is obtained under a non-trapping condition at high energies.},
affiliation = {Université de Nantes Laboratoire Jean Leray UMR 6629 du CNRS Département de Mathématiques 44322 Nantes Cedex 3 (France)},
author = {Wang, Xue Ping},
journal = {Annales de l’institut Fourier},
keywords = {Resolvent expansion; zero energy resonance; Schrödinger operator with metric; resolvent expansion},
language = {eng},
number = {6},
pages = {1903-1945},
publisher = {Association des Annales de l’institut Fourier},
title = {Asymptotic expansion in time of the Schrödinger group on conical manifolds},
url = {http://eudml.org/doc/10194},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Wang, Xue Ping
TI - Asymptotic expansion in time of the Schrödinger group on conical manifolds
JO - Annales de l’institut Fourier
PY - 2006
PB - Association des Annales de l’institut Fourier
VL - 56
IS - 6
SP - 1903
EP - 1945
AB - 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 $U(t) = {\rm e}^{-it P}$ is obtained under a non-trapping condition at high energies.
LA - eng
KW - Resolvent expansion; zero energy resonance; Schrödinger operator with metric; resolvent expansion
UR - http://eudml.org/doc/10194
ER -

References

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