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Título:
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Well posedness of an angiogenesis related integrodifferential diffusion model
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Autores:
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Carpio, Ana ;
Duro, Gema
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2016-05
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Materia = Ciencias: Matemáticas: Investigación operativa
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Materia = Ciencias Biomédicas: Medicina: Sistema cardiovascular
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/55542/1/51pre.pdf
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