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math.AP2021
The time-like minimal surface equation in Minkowski space: low regularity solutions
Albert Ai, Mihaela Ifrim, Daniel Tataru
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 i…
math.AP2021
Well-posedness for the dispersive Hunter-Saxton equation
Albert Ai, Ovidiu-Neculai Avadanei
This article represents a first step towards understanding the well-posedness for the dispersive Hunter-Saxton equation. This problem arises in the study of nematic liquid crystals…