关于L_{d+1}$中有漂移的热方程

IF 0.6 Q4 MATHEMATICS, APPLIED Methods and applications of analysis Pub Date : 2021-01-01 DOI:10.4310/maa.2022.v29.n2.a3

N. Krylov

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引用次数: 5

摘要

本文讨论了漂移为$L_{d+1}$的热方程。基本上，我们证明了，如果自由项在$L_{q}$中，并且$q$足够高，那么该方程在一类相当不寻常的函数中是唯一可解的，使得$\part_{t}u，D^{2}u\在L_｛p｝$中与$p

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On the heat equation with drift in $L_{d+1}$

In this paper we deal with the heat equation with drift in $L_{d+1}$. Basically, we prove that, if the free term is in $L_{q}$ with high enough $q$, then the equation is uniquely solvable in a rather unusual class of functions such that $\partial_{t}u, D^{2}u\in L_{p}$ with $p

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Methods and applications of analysis MATHEMATICS, APPLIED-

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33.30%

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