Construction of the fundamental solution of a class of degenerate parabolic equations of high order

Construction of the fundamental solution of a class of degenerate parabolic equations of high order

In the article, using the modified Levy method, a Green's function for a class of ultraparabolic equations of high order with an arbitrary number of parabolic degeneration groups is constructed. The modified Levy method is developed for high-order Kolmogorov equations with coefficients dependin...

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Bibliographic Details
Main Authors: H.P. Malytska, I.V. Burtnyak
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
degenerated parabolic equations
modified levy's method
kolmogorov's equation
fundamental solution
parametrix
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/3871

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