Time-decay of semigroups generated by dissipative Schrödinger operators

DOI10.1016/j.jde.2012.08.039zbMath1252.47037OpenAlexW2014646032MaRDI QIDQ1759903

Xue Ping Wang

Publication date: 22 November 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.08.039

zbMATH Keywords

dispersive estimatetime-decaysemigroup of contractionsnon-selfadjoint Schrödinger operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Estimates of eigenvalues in context of PDEs (35P15) Perturbation theory of linear operators (47A55) Schrödinger operator, Schrödinger equation (35J10) Applications of operator theory to differential and integral equations (47N20) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items

Asymptotic completeness in dissipative scattering theory ⋮ Long time behavior of stochastic NLS with a small multiplicative noise ⋮ Spectral decomposition of some non-self-adjoint operators ⋮ Generic nature of asymptotic completeness in dissipative scattering theory ⋮ Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential ⋮ Large time behavior of solutions to Schrödinger equation with complex-valued potential ⋮ Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups ⋮ Semigroup expansions for non-selfadjoint Schrödinger operators ⋮ Scattering matrices for dissipative quantum systems

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