On the Classical Fundamental Solutions of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables
- Авторы: Ivasyshen S.D.1,2, Medyns’kyi I.P.2,3
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Учреждения:
- “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
- Выпуск: Том 231, № 4 (2018)
- Страницы: 507-526
- Раздел: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241164
- DOI: https://doi.org/10.1007/s10958-018-3830-0
- ID: 241164
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Аннотация
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.
Об авторах
S. 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
Украина, Kyiv; Lviv
I. 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
Украина, Lviv; Lviv
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