Decay at infinity of caloric functions within characteristic hyperplanes

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dc.creatorEscauriaza, L.
dc.creatorKenig, C. E.
dc.creatorPonce, G.
dc.creatorVega, L.
dc.date2005-09-19
dc.date.accessioned2026-07-07T06:18:12Z
dc.date.available2026-07-07T06:18:12Z
dc.descriptionIt is shown that a function $u$ satisfying, $|Δu+\partial_tu|\le M(|u|+|\nabla u|)$, $|u(x,t)|\le Me^{M|x|^2}$ in $\R^n\times [0,T]$ and $|u(x,0)|\le C_ke^{-k|x|^2}$ in $\R^n$ and for all $k\ge 1$, must vanish identically in $\R^n\times [0,T]$.
dc.identifierhttps://arxiv.org/abs/math/0509436
dc.identifierhttp://arxiv.org/abs/math/0509436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94657
dc.subjectAnalysis of PDEs
dc.titleDecay at infinity of caloric functions within characteristic hyperplanes
dc.typetext

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