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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 (ℝn \ (B R ) × [0, T] and u(x, 0) = 0 for xℝn \ B R must vanish identically in ℝn \ B R ×[0, T].

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Correspondence to V. Šverák.

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Escauriaza, L., Seregin, G. & Šverák, V. Backward Uniqueness for Parabolic Equations. Arch. Rational Mech. Anal. 169, 147–157 (2003). https://doi.org/10.1007/s00205-003-0263-8

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  • DOI: https://doi.org/10.1007/s00205-003-0263-8

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