A tracing of the fractional temperature field |
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| Authors: | ShaoGuang Shi Jie Xiao |
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| Institution: | 1.Department of Mathematics,Linyi University,Linyi,China;2.Department of Mathematics and Statistics,Memorial University,St. John’s,Canada |
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| Abstract: | 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 + (?Δ x ) α )u(t, x) = g(t, x) in L p (? + 1+n ) subject to the initial temperature u(0, x) = f(x) in L p (? n ). |
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