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math.AP2005★ 5 cited
Dispersive estimates for Schroedinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: II
Mehmet Burak Erdogan, Wilhelm Schlag
We consider non-selfadjoint operators of the kind arising in linearized NLS and prove dispersive bounds for the time-evolution without assuming that the edges of the essential spec…
math.AP2003★ 231 cited
Dispersive estimates for Schrodinger operators in dimensions one and three
M. Goldberg, W. Schlag
We prove L^1 --> L^\infty estimates for linear Schroedinger equations in dimensions one and three. The potentials are only required to satisfy some mild decay assumptions. No regul…