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2021.11.15

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»ã±¨ÌáÒª£ºIn this talk we will consider the L^p-bounds of wave operators associated with fourth order Schr\"odinger operators on R. Under suitable decay condition on V(x) and the assumption of the absence of positive eigenvalues of H, we first proved that the wave operators are bounded on L^p for all 1<p<¡Þ whatever zero is a regular threshold or resonance. As applications, we can deduce the L^p-estimates of H\"ormander's type spectral multiplier f(H) generated by the fourth order Schr\"odinger operators on R.

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