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Efendiyev, M.A. ; Vougalter, V.*

On the well-posedness of a certain model with the bi-Laplacian appearing in the mathematical biology.

Z. Angew. Math. Phys. 76:234 (2025)
DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Bi-laplacian ; Integro-differential Equations ; Sobolev Spaces ; Well-posedness
ISSN (print) / ISBN 0044-2275
e-ISSN 1420-9039
Zeitschrift Zeitschrift fur Angewandte Mathematik und Physik
Quellenangaben Band: 76, Heft: 6, Seiten: , Artikelnummer: 234 Supplement: ,
Verlag Springer
Verlagsort Gewerbestrasse 11, Cham, Ch-6330, Switzerland
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)
Förderungen natural sciences and engineering research council of canada