A Tracing of the Fractional Temperature Field

S. G. Shi; J. Xiao

A Tracing of the Fractional Temperature Field

Analysis of PDEs 2015-06-22 v1

Authors: S. G. Shi , J. Xiao

Abstract

This note 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 $(\partial_t+(-\Delta_x)^\alpha)u(t,x)=g(t,x)$ in $L^p(\mathbb R^{1+n}_+)$ subject to the initial temperature $u(0,x)=f(x)$ in $L^p(\mathbb R^n)$ .

Keywords

fractional temperature field l^q-tracing fractional heat equation weak solution initial temperature l^p spaces

Cite

@article{arxiv.1506.06123,
  title  = {A Tracing of the Fractional Temperature Field},
  author = {S. G. Shi and J. Xiao},
  journal= {arXiv preprint arXiv:1506.06123},
  year   = {2015}
}

Comments

20 pages

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