Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in
M. Burak Erdoğan, Michael Goldberg, Wilhelm Schlag (2008)
Journal of the European Mathematical Society
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We present a novel approach for bounding the resolvent of for large energies. It is shown here that there exist a large integer and a large number so that relative to the usual weighted -norm, for all . This requires suitable decay and smoothness conditions on . The estimate (2) is trivial when , but difficult for large since the gradient term exactly cancels the natural decay of the free resolvent. To obtain (2), we introduce a conical decomposition of the resolvent and...