Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/5846
Title: On the thіrd іnіtіal-boundary value problem for some class of pseudo-dіfferentіal equatіons related to a symmetrіc alpha-stable process
Authors: Osypchuk, Mykhailo
Portenko, Mykola
Keywords: Pseudo-differential equations
initial-boundary value problem
fundamental solution
single-layer potential
α-stable stochastic process
Issue Date: Dec-2018
Citation: Osypchuk M.M. On the thіrd іnіtіal-boundary value problem for some class of pseudo-dіfferentіal equatіons related to a symmetrіc -stable process/ M.M. Osypchuk, M.І. Portenko// J. Pseudo-Dіffer. Oper. Appl. -2018. -V. 9, No. 4, -P. 811-835.
Abstract: A fundamental solution of the so-called third initial-boundary value problem for one class of pseudo-differential equations is constructed. Those equations are related to a symmetric α-stable stochastic process and our constructions are inspired by some probabilistic ideas. However, we expound our results in a way completely independent of any probabilistic notion. Only the last section of the paper is based on the notion of a stochastic process and also a pseudo-process and it gives some interpretation of our results in terms of stochastic analysis.
Description: , , , ,
URI: http://hdl.handle.net/123456789/5846
Appears in Collections:Статті та тези (ФМІ)

Files in This Item:
File Description SizeFormat 
PsDOA2018.pdf374.88 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.