Analysis of the free boundary for the p-parabolic variational problem (p > or = 2)

• Autores: Henrik Shahgholian
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 19, Nº 3, 2003, págs. 797-812
• Idioma: inglés
• Títulos paralelos:
  • Análisis de la frontera libre para el problema variacional p-parabólico (p = 2).
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• Resumen

  • Abstract Variational inequalities (free boundaries), governed by the p-parabolic equation (p > 2), are the objects of investigation in this paper. Using intrinsic scaling we establish the behavior of solutions near the free boundary. A consequence of this is that the time levels of the free boundary are porous (in N-dimension) and therefore its Hausdorff dimension is less than N. In particular the N-Lebesgue measure of the free boundary is zero for each t-level.