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Título:
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On a general approach to extinction and blow-up for quasi-linear heat equations
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Autores:
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Velázquez, J.J. L. ;
Galaktionov, V. A. ;
Posashkov, S. A. ;
Herrero, Miguel A.
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Tipo de documento:
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texto impreso
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Editorial:
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Pergamon-Elsevier Science, 1993
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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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The authors study asymptotic behaviour of positive solutions of equations of the type ut =??(u)±Q(u), where ?? and Q are given positive functions. By determining an auxiliary function F(u) appearing in an expression posed by A. Friedman and B. McLeod, they obtain asymptotic estimates of solutions as t?T, blow-up or extinction time. These estimates have been established by other authors using different methods. Moreover, the paper poses a conjecture that, if the behaviour of u(0,t) as t?T near a blow-up or extinction point is known, all the information about the corresponding asymptotic expansions on small compact subsets near the origin is encoded in the first order ODE ??(u)ur+rF(u)=0 for r>0 as t?T, where an optimal choice of F(u) is indicated in the paper.
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En línea:
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https://eprints.ucm.es/id/eprint/18007/1/Herrero40.pdf
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