Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian
Solutions are found for the nonlinear equation Δ L 2 U(x) = f(U(x)) (here, Δ L is an infinite-dimensional Laplacian) which is solved with respect to the iterated infinite-dimensional Laplacian. The Riquier problems are stated for an equation of this sort.
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4813 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510988941393920 |
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| author | Feller, M. N. Феллер, М. Н. Феллер, М. Н. |
| author_facet | Feller, M. N. Феллер, М. Н. Феллер, М. Н. |
| author_sort | Feller, M. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:14:51Z |
| description | Solutions are found for the nonlinear equation Δ L 2 U(x) = f(U(x)) (here, Δ L is an infinite-dimensional Laplacian) which is solved with respect to the iterated infinite-dimensional Laplacian. The Riquier problems are stated for an equation of this sort. |
| first_indexed | 2026-03-24T03:05:45Z |
| format | Article |
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| id | umjimathkievua-article-4813 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:05:45Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/da/d0a111e34375df11d2be827cc70601da.pdf |
| spelling | umjimathkievua-article-48132020-03-18T21:14:51Z Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian Задача Рикьера для нелинейного уравнения, разрешенного относительно интегрированного лапласиана Леви Feller, M. N. Феллер, М. Н. Феллер, М. Н. Solutions are found for the nonlinear equation Δ L 2 U(x) = f(U(x)) (here, Δ L is an infinite-dimensional Laplacian) which is solved with respect to the iterated infinite-dimensional Laplacian. The Riquier problems are stated for an equation of this sort. Одержано розв'язки нелінійного рівняння $Δ_{L^2} U(x) = f(U(x))$ ($Δ_L$ —нескінченновимірний лапласіан), яке розв'язне відносно ітерованого нескінченновимірного лапласіана, та задачі Рік'єра для такого рівняння. Institute of Mathematics, NAS of Ukraine 1998-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4813 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 11 (1998); 1574–1577 Український математичний журнал; Том 50 № 11 (1998); 1574–1577 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4813/6325 https://umj.imath.kiev.ua/index.php/umj/article/view/4813/6326 Copyright (c) 1998 Feller M. N. |
| spellingShingle | Feller, M. N. Феллер, М. Н. Феллер, М. Н. Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian |
| title | Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian |
| title_alt | Задача Рикьера для нелинейного уравнения, разрешенного относительно интегрированного лапласиана Леви |
| title_full | Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian |
| title_fullStr | Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian |
| title_full_unstemmed | Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian |
| title_short | Riquier problem for a nonlinear equation resolved with respect to the iterated Levi Laplacian |
| title_sort | riquier problem for a nonlinear equation resolved with respect to the iterated levi laplacian |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4813 |
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