【学术报告】Fractional Calculus for m-accretive Operators

• 主讲人：Dr. Maxim Kukushkin, Institute for Applied Mathematics and Automatization
• 时间：周四20:00-21:00，2021-05-20
• 地点：online

Beijing-Saint Petersburg Mathematics Colloquium (online)

摘要（Abstract） 

In this report, we aim to construct an abstract model of a differential operator with a fractional integro-differential operator composition in final terms, where modeling is understood as an interpretation of concrete differential operators in terms of the infinitesimal generator of a corresponding semigroup. We study such operators as a Kipriyanov operator, Riesz potential, difference operator. Along with this, we consider transforms of m-accretive operators as a generalization, introduce a special operator class and provide a description of its spectral properties.

主讲人简介（Bio）

Maksim Kukushkin is a specialist in boundary problems, fractional derivatives and operator theory being an author of a wide range of publications in all these areas. He has got his PhD degree in 2016 and, after working at  Moscow State University of Civil Engineering, Kabardino-Balkarian Scientific Center and Saint Petersburg State Transport University.