The Navier-Stokes equations and backward uniqueness

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Uniqueness of Self-similar Shrinkers with Asymptotically Conical Ends (2011, methodology): “For more bibliographic information on the backward uniqueness for parabolic equations, we recommend the readers refer to [13], [14], [15, 16], [30, 31], [32], [33], [34], [35], [40], [41], [42] and [43].”
BACKWARD UNIQUENESS FOR THE HEAT OPERATOR IN A HALF-SPACE (2004, methodology): “Also, as it was explained in [ 10 ], results of this type are helpful in regularity theory for the Navier-Stokes equations.”
Lower Bound on the Blow-up Rate of the Axisymmetric Navier-Stokes Equations (2007, unknown): “5) proved in [5, 29] is not an -regularity-type theory.”
On a Serrin-Type Regularity Criterion for the Navier–Stokes Equations in Terms of the Pressure (2007, background): “In the case r = n = 3, s = ∞ at first an additional smallness assumption was required which was recently removed by Escauriaza–Seregin–Šverák [8], [17].”
Backward Uniqueness for Parabolic Equations (2003, result): “This is explained in [ 19 ], where Theorem 1 was conjectured and proved for bounded u in the simple 148 L. Escauriaza, G. Seregin & V. Sverak”