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Global solution and global orbit to reaction-diffusion equation for fractional Dirichlet-to-Neumann operator with subcritical exponent
  • Minghong Xie,
  • Zhong Tan
Minghong Xie
Xiamen University
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Zhong Tan
Xiamen University
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Abstract

We consider the reaction-diffusion equation for fractional Dirichlet-to-Neumann operator with subcritical exponent motivated by electrical impedance tomography (EIT) and a need to overcome the Non-locality of a fractional differential equation for modeling anomalous diffusion. We mainly deal with the asymptotic behavior of global solution and the boundedness of global orbit which allows us to show that any global solution is classical solution using Moser iteration technique.

Peer review status:ACCEPTED

01 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
06 Jun 2020Assigned to Editor
06 Jun 2020Submission Checks Completed
15 Jun 2020Reviewer(s) Assigned
24 Aug 2020Review(s) Completed, Editorial Evaluation Pending
01 Sep 2020Editorial Decision: Accept