Optimal Regularity for One Dimensional Porous Medium Flow

• Autores: D.G. Aronson, Luis A. Caffarelli
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 2, Nº 4, 1986, págs. 357-366
• Idioma: inglés
• DOI: 10.4171/rmi/38
• Títulos paralelos:
  • Regularidad optimal para el flujo unidimensional en medio poroso.
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• Resumen

  • We give a new proof of the Lipschitz continuity with respect to t of the pressure in a one dimensional porous medium flow. As is shown by the Barenblatt solution, this is the optimal t-regularity for the pressure. Our proof is based on the existence and properties of a certain selfsimilar solution.