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Título:
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Asymptotic behavior of degenerate logistic equations
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Autores:
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Arrieta Algarra, José María ;
Pardo San Gil, Rosa ;
Rodríguez Bernal, Aníbal
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2015-12-05
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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/restrictedAccess
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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 analyze the asymptotic behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearities of the type lambda u - n(x)u(rho). An important characteristic of this work is that the region where the logistic term n(.) vanishes, that is K-0 ={x : n(x) = 0}, may be non-smooth. We analyze conditions on lambda, rho, n(.) and K-0 guaranteeing that the solution starting at a positive initial condition remains bounded or blows up as time goes to infinity. The asymptotic behavior may not be the same in different parts of K-0.
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En línea:
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https://eprints.ucm.es/35668/1/Arrieta.pdf
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