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摘要
We prove a dispersive estimate for the evolution of Schrodinger operators H=-+V(x) in 3. The potential is allowed to be a complex-valued function belonging to Lp(3)Lq(3), [image omitted], so that H need not be self-adjoint or even symmetric. Some additional spectral conditions are imposed, namely that no resonances of H exist anywhere within the interval [0, ) and that eigenfunctions at zero (including generalized eigenfunctions) decay rapidly enough to be integrable.
- 出版日期2010
