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Seminar

MGR Programmatic Seminar: Local well-posedness for the minimal surface equation in Minkowski space October 17, 2013 (01:30 PM PDT - 02:30 PM PDT)
Parent Program: Mathematical General Relativity
Location: MSRI: Baker Board Room
Speaker(s) Boris Ettinger (Princeton University)
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The minimal surface equation for timelike surfaces of the Minkowski space is a quasi-linear wave equation. The nonlinear part of the equation exhibits a cancellation known as the null condition. We replicate the strategy of Smith and Tataru of constructing a wave-packet parametrix, which coupled with a space-time estimates for the null form allows us to lower the regularity compared to the general result for the quasilinear wave equation obtained by Smith and Tataru.

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