Holomorphic solutions of integrable evolution equations

• 主讲人：Andrey Domrin (Moscow State University)
• 举办方： International Conference "GEOMETRY, GROUPS, OPERATOR ALGEBRAS, AND INTEGRABILITY 2022"
• 时间： 2022-07-01 17:15 - 2022-07-01 18:15
• 地点： online

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Abstract: A local holomorphic version of the inverse scattering transform enables us to construct all local holomorphic solutions of soliton equations of parabolic type and study their properties. In particular, we prove that every such solution extends to a global meromorphic function of the spatial variable. We also describe all integrable evolution equations with weighted homogeneous right-hand side all of whose local holomorphic solutions possess this forced analytic extension property.

 

Bio: Andrey Domrin is a professor at the Department of Function Theory and Functional Analysis, Faculty of Mechanics and Mathematics of Lomonosov Moscow State University.

 

 

*This talk is a part of the International Conference "GEOMETRY, GROUPS, OPERATOR ALGEBRAS, AND INTEGRABILITY 2022", supported by the Moscow Center of Fundamental and Applied Mathematics

https://ggoi2022.mathcenter.ru/#schedule