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Título:
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Pointwise gradient estimates and stabilization for Fisher-KPP type equations with a concentration dependent diffusion
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Autores:
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Díaz Díaz, Jesús Ildefonso
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Tipo de documento:
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texto impreso
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Editorial:
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Inderscience publishers, 2010
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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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Tipo = Artículo
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Resumen:
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We prove a pointwise gradient estimate for the bounded weak solution of the Cauchy problem associated to the quasilinear Fisher-KPP type equation ut ='(u)xx + (u) when ' satisÖes that '(0)=0; and (u) is vanishing only for levels u = 0 and u = 1. As a Örst consequence we prove that the bounded weak solution becomes instantaneously a continuous function even if the initial datum is merely a discontinuous bounded function. Moreover the obtained estimates also prove the stabilization of the gradient of bounded weak solutions as t ! +1 for suitable initial data.
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En línea:
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https://eprints.ucm.es/id/eprint/29736/1/157.pdf
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