Fractional Klein-Gordon equation with singular mass
Fractional Klein-Gordon equation with singular mass
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DOI：
10.1016/j.chaos.2020.110579
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发表时间：
2021-02
期刊：
影响因子：
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通讯作者：
A. Altybay;Michael Ruzhansky;Mohammed Elamine Sebih;N. Tokmagambetov
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文献类型：
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作者：
A. Altybay;Michael Ruzhansky;Mohammed Elamine Sebih;N. Tokmagambetov
我们考虑了一个具有依赖于位置的奇异质量项的空间分数阶波方程，并证明了它是非常弱适定的。在适当的意义下证明了其唯一性。此外，当经典解存在时，我们证明了很弱解与经典解的相合性。为了研究在系数奇点附近的很弱解的行为，进行了一些数值实验，其中观察到δ2强度的奇异质量的墙效应的出现。
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.