RT Journal Article
T1 Well posedness of an angiogenesis related integrodifferential diffusion model
A1 Carpio Rodríguez, Ana María
A1 Duro, Gema
AB 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.
PB Elsevier
SN 0307904X
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/23618
UL https://hdl.handle.net/20.500.14352/23618
LA eng
NO 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.
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Ministerio de Economía, Comercio y Empresa (España)
DS Docta Complutense
RD 26 abr 2026