2 papers
math.AP2007
Strichartz and Smoothing Estimates for Schrödinger Operators with Almost Critical Magnetic Potentials in Three and Higher Dimensions
M. Burak Erdogan, Michael Goldberg, Wilhelm Schlag
In this paper we consider magnetic Schrödinger operators in R^n, n \ge 3. Under almost optimal conditions on the potentials in terms of decay and regularity we prove smoothing and…
math-ph2007
Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions
M. Burak Erdogan, Vadim Zharnitsky
It is shown that a large subset of initial data with finite energy ( norm)evolves nearly linearly in nonlinear Schr\" odinger equation with periodic boundary conditions. These…