Decay and Strichartz estimates in critical electromagnetic fields
نویسندگان
چکیده
We study the L1→L∞-decay estimates for Klein-Gordon equation in Aharonov-Bohm magnetic fields, and further prove Strichartz with critical electromagnetic potentials. The novel ingredients are Schwartz kernels of spectral measure heat propagator Schrödinger operator fields. In particular, we explicitly construct representation resolvent potentials, that kernel fields satisfies Gaussian boundedness. future papers, this result on will be used to (i) uniform estimates, (ii) Lp-regularity property wave propagation same setting.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2021.109350