论文标题
aharonov-bohm磁场中的波和狄拉克方程的广义估计值
Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields
论文作者
论文摘要
我们证明了Aharonov-Bohm磁场中波浪和无质量狄拉克方程的普遍估计。遵循良好的策略来处理分散PDE的关键扰动，我们利用Hankel变换并依赖于Bessel功能的一些精确估计。作为补充结果，我们证明了同一磁场中克莱因 - 戈登方程的局部平滑估计值。
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.
