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arxiv: 0909.0182 · v2 · submitted 2009-09-01 · 🧮 math.AP

Another proof for the removable singularities of the heat equation

classification 🧮 math.AP
keywords equationheatremovablesingularitiesgiveomegasetminustimes
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We give two different simple proofs for the removable singularities of the heat equation in $(\Omega\setminus\{x_0\})\times (0,T)$ with $n\ge 3$. We also give a necessary and sufficient condition for removable singularities of the heat equation in $(\Omega\setminus\{x_0\})\times (0,T)$ for the case $n=2$.

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