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Open Access Green as soon as Postprint is submitted to ZB.
On the well-posedness of a certain model with the bi-Laplacian appearing in the mathematical biology.
Z. Angew. Math. Phys. 76:234 (2025)
The work is devoted to the global well-posedness in W(1,4),2(R×R+) of the integro-differential problem involving the square of the one dimensional Laplace operator along with the drift term. Our proof is based on a fixed point technique. Moreover, we provide the assumption leading to the existence of the nontrivial solution for the problem under the consideration. Such equation is relevant to the cell population dynamics in the Mathematical Biology.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Bi-laplacian ; Integro-differential Equations ; Sobolev Spaces ; Well-posedness
ISSN (print) / ISBN
0044-2275
e-ISSN
1420-9039
Quellenangaben
Volume: 76,
Issue: 6,
Article Number: 234
Publisher
Springer
Publishing Place
Gewerbestrasse 11, Cham, Ch-6330, Switzerland
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)
Grants
natural sciences and engineering research council of canada