English

Refined asymptotic expansions of solutions to fractional diffusion equations

Analysis of PDEs 2021-09-30 v1

Abstract

In this paper, as an improvement of the paper [K. Ishige, T. Kawakami and H. Michihisa, SIAM J. Math. Anal. 49 (2017) pp. 2167--2190], we obtain the higher order asymptotic expansions of the large time behavior of the solution to the Cauchy problem for inhomogeneous fractional diffusion equations and nonlinear fractional diffusion equations.

Keywords

Cite

@article{arxiv.2109.14193,
  title  = {Refined asymptotic expansions of solutions to fractional diffusion equations},
  author = {Kazuhiro Ishige and Tatsuki Kawakami},
  journal= {arXiv preprint arXiv:2109.14193},
  year   = {2021}
}