The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field

dc.contributor.author	Litovchenko, Vladyslav
dc.date.accessioned	2022-11-17T06:46:47Z
dc.date.available	2022-11-17T06:46:47Z
dc.date.issued	2022
dc.identifier.citation	Litovchenko, V. The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field. Fract Calc Appl Anal 25, 668–686 (2022). https://doi.org/10.1007/s13540-022-00034-2	uk_UA
dc.identifier.issn	1314-2224
dc.identifier.uri	https://archer.chnu.edu.ua/xmlui/handle/123456789/5606
dc.description.abstract	In the class of discontinuous unbounded initial functions with an integrable singularity, we consider the Cauchy problem for the pseudodifferential equation of local action of moving objects in the corresponding Riesz gravitational field. The fundamental solution to this problem is the Cauchy probability distribution of the force of local interaction between these objects. An explicit form of this solution is obtained, and the correct solvability of this problem is established. In this case, the form of the classical solution of the Cauchy problem is found, and the properties of its smoothness and behavior at infinity are studied	uk_UA
dc.description.sponsorship	differential equations	uk_UA
dc.language.iso	en	uk_UA
dc.title	The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field	uk_UA
dc.type	Article	uk_UA