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Applied Analysis
Seminar information archive ～04/18｜Next seminar｜Future seminars 04/19～
| Date, time & place | Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.) |
|---|
2009/09/17
16:00-17:30 Room #002 (Graduate School of Math. Sci. Bldg.)
Norayr MATEVOSYAN (ケンブリッジ大学・数理)
On a parabolic free boundary problem modelling price formation
Norayr MATEVOSYAN (ケンブリッジ大学・数理)
On a parabolic free boundary problem modelling price formation
[ Abstract ]
We will discuss existence and uniqueness of solutions for a one dimensional parabolic evolution equation with a free boundary. This problem was introduced by J.-M. Lasry and P.-L. Lions as description of the dynamical formation of the price of a trading good. Short time existence and uniqueness is established by a contraction argument. Then we discuss the issue of global-in time-extension of the local solution which is intimately connected to the regularity of the free boundary.
We also present numerical results.
We will discuss existence and uniqueness of solutions for a one dimensional parabolic evolution equation with a free boundary. This problem was introduced by J.-M. Lasry and P.-L. Lions as description of the dynamical formation of the price of a trading good. Short time existence and uniqueness is established by a contraction argument. Then we discuss the issue of global-in time-extension of the local solution which is intimately connected to the regularity of the free boundary.
We also present numerical results.
