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Existence for Diffusion Degenerate Problems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2049)

Abstract

In this chapter we present another method for studying the well-posedness of a multivalued degenerate fast diffusion equation by proposing an appropriate time discretization scheme. We consider that the degeneration of the equation is due to the vanishing of the diffusion coefficient and choose for this problem Robin boundary conditions which contain the multivalued function as well.

Keywords

  • Periodic Solution
  • Weak Solution
  • Mild Solution
  • Multivalued Function
  • Volumetric Water Content

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Favini, A., Marinoschi, G. (2012). Existence for Diffusion Degenerate Problems. In: Degenerate Nonlinear Diffusion Equations. Lecture Notes in Mathematics, vol 2049. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28285-0_2

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