论文标题
分数klein-gordon方程与奇异质量
Fractional Klein-Gordon equation with singular mass
论文作者
论文摘要
我们考虑一个具有奇异质量项的空间裂缝方程，具体取决于该位置，并证明其较弱的位置。在某种意义上，证明了独特性。此外，我们证明了非常弱的解决方案与经典解决方案的一致性。为了研究系数奇异性附近的非常弱的解的行为，进行了一些数值实验，其中观察到了$δ^2 $的奇异质量的壁效应的出现。
We consider a space-fractional wave equation with a singular mass term depending on the position and prove that it is very weak well-posed. The uniqueness is proved in some appropriate sense. Moreover, we prove the consistency of the very weak solution with classical solutions when they exist. In order to study the behaviour of the very weak solution near the singularities of the coefficient, some numerical experiments are conducted where the appearance of a wall effect for the singular masses of the strength of $δ^2$ is observed.
