A tracing of the fractional temperature field

This paper is devoted to a study of L~q-tracing of the fractional temperature field u(t, x)—the weak solution of the fractional heat equation(?_t +(-?_x)~α)u(t, x) = g(t, x) in L~p(R_+~(1+n)) subject to the initial temperature u(0, x) = f(x) in L~p(R~n)....

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Veröffentlicht in:Science China. Mathematics 2017-11, Vol.60 (11), p.2303-2320
Hauptverfasser: Shi, ShaoGuang, Xiao, Jie
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description This paper is devoted to a study of L~q-tracing of the fractional temperature field u(t, x)—the weak solution of the fractional heat equation(?_t +(-?_x)~α)u(t, x) = g(t, x) in L~p(R_+~(1+n)) subject to the initial temperature u(0, x) = f(x) in L~p(R~n).
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subjects Applications of Mathematics
Mathematics
Mathematics and Statistics
Temperature distribution
分数
初始温度
弱解
温度场
热方程
追踪
title A tracing of the fractional temperature field
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