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Título:
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The one-dimensional nonlinear heat-equation with absorption: regularity of solutions and interfaces
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Autores:
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Herrero, Miguel A. ;
Vázquez, Juan Luis
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Tipo de documento:
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texto impreso
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Editorial:
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Society for Industrial and Applied Mathematics, 1987-01
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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 consider the equation ut=(Um)xx-?un with m>1, ?>0, n?m as a model for heat diffusion with absorption. Hence we assume that u?0 for x?R, t?0. We study the regularity of the solution to the Cauchy problem for this degenerate parabolic equation. When the initial datum uo(X)is positive only in a part of the space R, we also study the regularity of the free boundaries that appear. The asymptotic behavior of solutions and free boundaries is also discussed.
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En línea:
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https://eprints.ucm.es/id/eprint/17602/1/Herrero59.pdf
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