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A tracing of the fractional temperature field

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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(ℝ 1+n+ ) subject to the initial temperature u(0, x) = f(x) in L p(ℝn).

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11301249 and 11271175), the Applied Mathematics Enhancement Program of Linyi University (Grant No. LYDX2013BS059) and Natural Sciences and Engineering Research Council of Canada (FOAPAL) (Grant No. 202979463102000).

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Authors and Affiliations

  1. Department of Mathematics, Linyi University, Linyi, 276005, China

    ShaoGuang Shi

  2. Department of Mathematics and Statistics, Memorial University, St. John’s, NL, A1C 5S7, Canada

    Jie Xiao

Authors
  1. ShaoGuang Shi
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  2. Jie Xiao
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Correspondence to Jie Xiao.

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In memory of Professor CHENG MinDe at the centenary of his birth

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Shi, S., Xiao, J. A tracing of the fractional temperature field. Sci. China Math. 60, 2303–2320 (2017). https://doi.org/10.1007/s11425-016-0494-6

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  • DOI: https://doi.org/10.1007/s11425-016-0494-6

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