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TEMPORAL DECAY OF SOLUTIONS FOR A CHEMOTAXIS MODEL OF ANGIOGENESIS TYPEopen access

Authors
Ahn, JaewookKim, Myeonghyeon
Issue Date
May-2023
Publisher
대한수학회
Keywords
Anderson-Chaplain model; angiogenesis; temporal decay
Citation
대한수학회지, v.60, no.3, pp 619 - 634
Pages
16
Indexed
SCIE
SCOPUS
KCI
Journal Title
대한수학회지
Volume
60
Number
3
Start Page
619
End Page
634
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/18639
DOI
10.4134/JKMS.j220424
ISSN
0304-9914
2234-3008
Abstract
This paper considers a parabolic-hyperbolic-hyperbolic type chemotaxis system in Rd, d >= 3, describing tumor-induced angiogenesis. The global existence result and temporal decay estimate for a unique mild solution are established under the assumption that some Sobolev norms of initial data are sufficiently small.
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