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Abstract

In this chapter we continue the study of critical phenomena in the model of diffusion-absorption introduced in the previous chapter. We concentrate here on the influence of a stronger absorption term which creates a singularity of the type called finite-time extinction. In the rescaled sense this leads to a singularly perturbed dynamical system.

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© 2004 Birkhäuser Boston

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Galaktionov, V.A., Vázquez, J.L. (2004). Porous Medium Equation with Critical Strong Absorption. In: A Stability Technique for Evolution Partial Differential Equations. Progress in Nonlinear Differential Equations and Their Applications, vol 56. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2050-3_5

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  • DOI: https://doi.org/10.1007/978-1-4612-2050-3_5

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7396-7

  • Online ISBN: 978-1-4612-2050-3

  • eBook Packages: Springer Book Archive

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