Email this article On the Classical Fundamental Solutions of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables
- Authors: Ivasyshen S.D.1,2, Medyns’kyi I.P.2,3
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Affiliations:
- “Sikorsky Kyiv Polytechnic Institute,”, Ukrainian National Technical University
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- “L’vivs’ka Politekhnika” National University
- Issue: Vol 231, No 4 (2018)
- Pages: 507-526
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241164
- DOI: https://doi.org/10.1007/s10958-018-3830-0
- ID: 241164
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Abstract
For a Kolmogorov-type ultraparabolic equation with two groups of spatial variables, we establish estimates for the increments of the classical fundamental solution of the Cauchy problem and its derivatives in the spatial variables.
About the authors
S. D. Ivasyshen
“Sikorsky Kyiv Polytechnic Institute,”, Ukrainian National Technical University; Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Kyiv; Lviv
I. P. Medyns’kyi
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences; “L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Ukraine, Lviv; Lviv
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