Time-decay of semigroups generated by dissipative Schrodinger operators

[摘要] We establish a representation formula for semigroups of contractions in terms of a global limiting absorption principle. As applications, we prove long-time asymptotics and dispersive estimate of the semigroup generated by -iH where H is a dissipative Schrodinger operator. (C) 2012 Elsevier Inc. All rights reserved.

[发布日期] 2012-12-15

[关键词] Time-decay;Dispersive estimate;Semigroup or contractions;Non-selfadjoint Schrodinger operators