Well posedness of an angiogenesis related integrodifferential diffusion model
We prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions of appropriately chosen parabolic operators with bounded coefficients allow us to generate sequences of approximate solut...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/23618 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/23618 |
| Access Level: | acceso abierto |
| Palabra clave: | 519.87 Integrodifferential Diffusion Nonlocal Fundamental solutions Ecuaciones diferenciales Investigación operativa (Matemáticas) Sistema cardiovascular 1202.07 Ecuaciones en Diferencias 1207 Investigación Operativa 2411.03 Fisiología Cardiovascular |
| Sumario: | We prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions of appropriately chosen parabolic operators with bounded coefficients allow us to generate sequences of approximate solutions. Comparison principles and integral equations provide uniform bounds ensuring some convergence properties for iterative schemes and providing stability bounds. Uniqueness follows from chained integral inequalities. |
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