A tweezer-type bis(zinc porphyrin) bridged by benzo orthocarbonates was synthesized and applied as a molecular conformational switch under regulation of DABCO and a Cu(+) ion. The switch property has been confirmed by (1)H NMR, UV-vis spectral titration, and HR-MS spectra method.
We prove generalized Strichartz estimates for wave and massless Dirac equations in Aharonov-Bohm magnetic fields. Following a well established strategy to deal with scaling critical perturbations of dispersive PDEs, we make use of Hankel transform and rely on some precise estimates on Bessel functions. As a complementary result, we prove a local smoothing estimate for the Klein-Gordon equation in the same magnetic field.
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