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Volume 33, Issue 2
Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term

Shaohua Wu & Lei Liu

DOI: 10.4208/jpde.v33.n2.5

J. Part. Diff. Eq., 33 (2020), pp. 158-170.

Published online: 2020-05

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  • Abstract

In this paper, we come up with a parabolic system modelling chemotaxis with memory term, and establish the local existence and uniqueness of weak solutions. The main methods we use are the fixed point theorem and semigroup theory.

  • Keywords

Parabolic system, chemotaxis, memory term, fixed point theorem.

  • AMS Subject Headings

35A01, 35A02, 35K51

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

s.h.wu@163.com (Shaohua Wu)

liulei95@whu.edu.cn (Lei Liu)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-33-158, author = {Wu , Shaohua and Liu , Lei}, title = {Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term}, journal = {Journal of Partial Differential Equations}, year = {2020}, volume = {33}, number = {2}, pages = {158--170}, abstract = {

In this paper, we come up with a parabolic system modelling chemotaxis with memory term, and establish the local existence and uniqueness of weak solutions. The main methods we use are the fixed point theorem and semigroup theory.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v33.n2.5}, url = {http://global-sci.org/intro/article_detail/jpde/16857.html} }
TY - JOUR T1 - Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term AU - Wu , Shaohua AU - Liu , Lei JO - Journal of Partial Differential Equations VL - 2 SP - 158 EP - 170 PY - 2020 DA - 2020/05 SN - 33 DO - http://doi.org/10.4208/jpde.v33.n2.5 UR - https://global-sci.org/intro/article_detail/jpde/16857.html KW - Parabolic system, chemotaxis, memory term, fixed point theorem. AB -

In this paper, we come up with a parabolic system modelling chemotaxis with memory term, and establish the local existence and uniqueness of weak solutions. The main methods we use are the fixed point theorem and semigroup theory.

Wu , Shaohua and Liu , Lei. (2020). Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term. Journal of Partial Differential Equations. 33 (2). 158-170. doi:10.4208/jpde.v33.n2.5
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