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Caltech/UCLA/USC Joint Analysis Seminar

Tuesday, February 8, 2022
2:00pm to 3:00pm
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The time-like minimal surface equation in Minkowski space: low regularity solutions
Mihaela Ifrim, Department of Mathematics, University of Wisconsin, Madison,

It has long been conjectured that for nonlinear wave equations which satisfy a nonlinear form of the null condition, the low regularity well-posedness theory can be significantly improved compared to the sharp results of Smith-Tataru for the generic case. The aim of this article is to prove the first result in this direction, namely for the time-like minimal surface equation in the Minkowski space-time. Further, our improvement is substantial, namely by 3/8 derivatives in two space dimensions and by 1/4 derivatives in higher dimensions. This work is joint with Albert Ai and Daniel Tataru.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].