TY - JOUR
T1 - Backward Uniqueness for Parabolic Equations
AU - Escauriaza, L.
AU - Seregin, G.
AU - Šverák, V.
PY - 2003/9
Y1 - 2003/9
N2 - It is shown that a function u satisfying ∂ + Δu ≤ M (|u| + ∇u|), |u(x, t,)≤ MeM|x|2 in (ℝn \ B R) × [0, T] and u(x, 0) = 0 for x ∈ ℝn \ BR must vanish identically in ℝn \ BR × [0, T].
AB - It is shown that a function u satisfying ∂ + Δu ≤ M (|u| + ∇u|), |u(x, t,)≤ MeM|x|2 in (ℝn \ B R) × [0, T] and u(x, 0) = 0 for x ∈ ℝn \ BR must vanish identically in ℝn \ BR × [0, T].
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U2 - 10.1007/s00205-003-0263-8
DO - 10.1007/s00205-003-0263-8
M3 - Article
AN - SCOPUS:0141574190
SN - 0003-9527
VL - 169
SP - 147
EP - 157
JO - Archive For Rational Mechanics And Analysis
JF - Archive For Rational Mechanics And Analysis
IS - 2
ER -