Randomness and Nonlinear Evolution Equations
In this paper we survey some results on existence, and when possible also uniqueness, of solutions to certain evolution equations obtained by injecting randomness either on the set of initial data or as a perturbative term.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer Science and Business Media LLC
2020
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| Online Access: | https://hdl.handle.net/1721.1/125076 |
| _version_ | 1826204257171275776 |
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| author | Nahmod, Andrea Staffilani, Gigliola |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Nahmod, Andrea Staffilani, Gigliola |
| author_sort | Nahmod, Andrea |
| collection | MIT |
| description | In this paper we survey some results on existence, and when possible also uniqueness, of solutions to certain evolution equations obtained by injecting randomness either on the set of initial data or as a perturbative term. |
| first_indexed | 2024-09-23T12:51:26Z |
| format | Article |
| id | mit-1721.1/125076 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:51:26Z |
| publishDate | 2020 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1250762022-09-28T10:32:02Z Randomness and Nonlinear Evolution Equations Nahmod, Andrea Staffilani, Gigliola Massachusetts Institute of Technology. Department of Mathematics In this paper we survey some results on existence, and when possible also uniqueness, of solutions to certain evolution equations obtained by injecting randomness either on the set of initial data or as a perturbative term. National Science Foundation (U.S.) (Grant DMS 1362509) National Science Foundation (U.S.) (Grant DMS 1462401) 2020-05-06T19:19:17Z 2020-05-06T19:19:17Z 2019-05 2018-07 2020-01-15T13:13:35Z Article http://purl.org/eprint/type/JournalArticle 1439-8516 1439-7617 https://hdl.handle.net/1721.1/125076 Nahmod, Andrea R. and Gigliola Staffilani. "Randomness and Nonlinear Evolution Equations." Acta Mathematica Sinica, English Series 35, 6 (June 2019): 903–932 © 2019 Springer Nature Switzerland AG en http://dx.doi.org/10.1007/S10114-019-8297-5 Acta Mathematica Sinica, English Series Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer Science and Business Media LLC Prof. Staffilani via Michael Noga |
| spellingShingle | Nahmod, Andrea Staffilani, Gigliola Randomness and Nonlinear Evolution Equations |
| title | Randomness and Nonlinear Evolution Equations |
| title_full | Randomness and Nonlinear Evolution Equations |
| title_fullStr | Randomness and Nonlinear Evolution Equations |
| title_full_unstemmed | Randomness and Nonlinear Evolution Equations |
| title_short | Randomness and Nonlinear Evolution Equations |
| title_sort | randomness and nonlinear evolution equations |
| url | https://hdl.handle.net/1721.1/125076 |
| work_keys_str_mv | AT nahmodandrea randomnessandnonlinearevolutionequations AT staffilanigigliola randomnessandnonlinearevolutionequations |