Seminar
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Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Hamilton-Jacobi equations (HJE) in the space of measures arise naturally when approximating the dynamics of many particle systems in classical mechanics. At first sight, these equations appear to be very difficult to analyze. We argue, however, that the space of measures has just enough regularity to admit a uniqueness theorem for solutions of these HJE.
Our hope is that the ideas presented in the talk will provide methods for obtaining properties of solutions and in turn information on many particles systems.
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