, Volume 169, Issue 2, pp 147-157
Date: 28 May 2003

Backward Uniqueness for Parabolic Equations

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Abstract.

It is shown that a function u satisfying |∂ t u|≦M(|u|+|∇u|), |u(x, t)|≦Me M|x| 2 in (ℝ n \ (B R ) × [0, T] and u(x, 0) = 0 for xℝ n \ B R must vanish identically in ℝ n \ B R ×[0, T].

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