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  1. No Access

    Chapter and Conference Paper

    Geometric Tangential Analysis and Sharp Regularity for Degenerate pdes

    We provide a broad overview on qualitative versus quantitative regularity estimates in the theory of degenerate parabolic pdes. The former relates to DiBenedetto’s revolutionary method of intrinsic scaling, wh...

    Eduardo V. Teixeira, José Miguel Urbano in Harnack Inequalities and Nonlinear Operators (2021)

  2. No Access

    Chapter and Conference Paper

    Boundary Regularity at {t = 0} for a Singular Free Boundary Problem

    In this note it is shown that the weak solutions of the Stefan problem for the singular p-Laplacian are continuous up to {t = 0}. The result is a follow-up to a recent paper of the authors concerning the interior...

    Eurica Henriques, José Miguel Urbano in Free Boundary Problems (2007)

  3. No Access

    Chapter and Conference Paper

    A Free Boundary Problem: Contributions from Modern Analysis

    We exemplify the role of Free Boundary Problems as an important source of ideas in modern analysis. With the help of a model problem we illustrate the use of analytical, algebraic and geometrical techniques ob...

    José Miguel Urbano in European Congress of Mathematics (2001)