Fractional Klein-Gordon equation with singular mass
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Volume
143
Publisher
DOI
10.1016/j.chaos.2020.110579
Journal
CHAOS SOLITONS & FRACTALS
ISSN
0960-0779
Metadata
Show full item recordAbstract
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 is observed.
Authors
Altybay, A; Ruzhansky, M; Sebih, ME; Tokmagambetov, NCollections
- Mathematics [1438]