Well posedness of an angiogenesis related integrodifferential diffusion model

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https://doi.org/10.1016/j.apm.2016.01.025

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2016

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Elsevier
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https://hdl.handle.net/20.500.14352/23618

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Carpio Rodríguez, A. M. y Duro, G. «Well Posedness of an Angiogenesis Related Integrodifferential Diffusion Model». Applied Mathematical Modelling, vol. 40, n.o 9-10, mayo de 2016, pp. 5560-75. https://doi.org/10.1016/j.apm.2016.01.025.

Abstract

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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Ecuaciones diferenciales, Investigación operativa (Matemáticas), Sistema cardiovascular

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1202.07 Ecuaciones en Diferencias, 1207 Investigación Operativa, 2411.03 Fisiología Cardiovascular

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