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Home » OT Programmatic Seminar: Uniqueness of solutions of Hamilton-Jacobi equations in the space of probability measures.

Seminar

OT Programmatic Seminar: Uniqueness of solutions of Hamilton-Jacobi equations in the space of probability measures. September 17, 2013 (03:45PM PDT - 04:45PM PDT)
Parent Program: Optimal Transport: Geometry and Dynamics
Location: MSRI: Simons Auditorium
Speaker(s) Ryan Hynd (University of Pennsylvania)
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Abstract/Media

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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