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TEMPORAL DECAY OF SOLUTIONS FOR A CHEMOTAXIS MODEL OF ANGIOGENESIS TYPE
- Ahn, Jaewook;
- Kim, Myeonghyeon
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1초록
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.
키워드
Anderson-Chaplain model; angiogenesis; temporal decay; MATHEMATICAL-MODELS; TUMOR; FIBRONECTIN; COLLAGEN; CELLS
- 제목
- TEMPORAL DECAY OF SOLUTIONS FOR A CHEMOTAXIS MODEL OF ANGIOGENESIS TYPE
- 저자
- Ahn, Jaewook; Kim, Myeonghyeon
- 발행일
- 2023-05
- 유형
- Article
- 저널명
- 대한수학회지
- 권
- 60
- 호
- 3
- 페이지
- 619 ~ 634