Título:
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On the initial growth of interfaces in reaction-diffusion equations with strong absorption
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Álvarez León, Luis
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge University Press, 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/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 study the initial growth of the interfaces of non-negative local solutions of the equation u(t) = (u(m))xx - lambdau(q) when m greater-than-or-equal-to 1 and 0 C0, for some explicit C0 = C0(lambda, m, q), then the free boundary zeta(t) = sup {x: u(x, t) > 0} is a ''heating front''. More precisely zeta(t) greater-than-or-equal-to at(m-q)/2(1-q) for any t small enough and for some a > 0. If on the contrary, u(x, 0) less-than-or-equal-to C(-x)+2/(m-q) with C 0. Applications to solutions of the associated Cauchy and Dirichlet problems are also given.
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En línea:
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https://eprints.ucm.es/id/eprint/16257/1/112.pdf
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