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Volume 31, Issue 4
Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain

Zijun Xu

DOI: 10.4208/jpde.v31.n4.3

J. Part. Diff. Eq., 31 (2018), pp. 322-332.

Published online: 2019-01

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  • Abstract

In this paper, we use contraction mapping principle and operator-theoretic approach to establish local solvability of the elliptic-parabolic (hyperbolic) Type Chemotaxis System. In addition, global solvability of the systems is considered by some uniform estimates.

  • Keywords

Elliptic-parabolic (hyperbolic) system chemotaxis model local existence global existence.

  • AMS Subject Headings

35A01, 35K57, 35M10, 47D03

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

huayuycdi@163.com (Zijun Xu)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-31-322, author = {Xu , Zijun}, title = {Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {31}, number = {4}, pages = {322--332}, abstract = {

In this paper, we use contraction mapping principle and operator-theoretic approach to establish local solvability of the elliptic-parabolic (hyperbolic) Type Chemotaxis System. In addition, global solvability of the systems is considered by some uniform estimates.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n4.3}, url = {http://global-sci.org/intro/article_detail/jpde/12946.html} }
TY - JOUR T1 - Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain AU - Xu , Zijun JO - Journal of Partial Differential Equations VL - 4 SP - 322 EP - 332 PY - 2019 DA - 2019/01 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n4.3 UR - https://global-sci.org/intro/article_detail/jpde/12946.html KW - Elliptic-parabolic (hyperbolic) system KW - chemotaxis model KW - local existence KW - global existence. AB -

In this paper, we use contraction mapping principle and operator-theoretic approach to establish local solvability of the elliptic-parabolic (hyperbolic) Type Chemotaxis System. In addition, global solvability of the systems is considered by some uniform estimates.

Xu , Zijun. (2019). Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain. Journal of Partial Differential Equations. 31 (4). 322-332. doi:10.4208/jpde.v31.n4.3
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