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Log-log convexity and backward uniqueness |
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| Authors: | Igor Kukavica |
| Affiliation: | Department of Mathematics, University of Southern California, Los Angeles, California 90089 |
| Abstract: | We study backward uniqueness properties for equations of the form   and  , it is shown that  implies  for  . The argument is based on  -log and log-log convexity. The results apply to mildly nonlinear parabolic equations and systems with rough coefficients and the 2D Navier-Stokes system. |
| Keywords: | Backward uniqueness logarithmic convexity Navier-Stokes equations |
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