$A tracing of the fractional temperature field$

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
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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）.
ISSN:	1674-7283 1869-1862
DOI:	10.1007/s11425-016-0494-6