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http://www.repositorio.ufop.br/jspui/handle/123456789/11523| Title: | Existence of solutions and local null controllability for a model of tissue invasion by solid tumors. |
| Authors: | Araújo, Anderson Luis Albuquerque de Magalhães, Paulo Marcelo Dias de |
| Keywords: | Leray--Schauder fixed point theorem Schauder's fixed point theorem Tumor invasion of tissue |
| Issue Date: | 2018 |
| Citation: | ARAÚJO, A. L. A. de; MAGALHÃES, P. M. D. de. Existence of solutions and local null controllability for a model of tissue invasion by solid tumors. Siam Journal On Mathematical Analysis, v. 50, n. 4, p. 3598-3631, 2018. Disponível em: <https://epubs.siam.org/doi/abs/10.1137/17M111732X>. Acesso em: 19 mar. 2019. |
| Abstract: | In this paper we study the distributed problem for the two-dimensional mathematical model of the invasion of a healthy tissue by a generic solid tumor that has been vascularized, due to coupled parabolic systems. We prove the existence, uniqueness, and local null controllability. |
| URI: | http://www.repositorio.ufop.br/handle/123456789/11523 |
| metadata.dc.identifier.uri2: | https://epubs.siam.org/doi/abs/10.1137/17M111732X |
| metadata.dc.identifier.doi: | https://doi.org/10.1137/17M111732X |
| ISSN: | 0022-247X |
| Appears in Collections: | DEMAT - Artigos publicados em periódicos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ARTIGO_ExistenceSolutionsLocal.pdf Restricted Access | 455,03 kB | Adobe PDF | View/Open |
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