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Resumen de Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption

Jesús Ildefonso Díaz Díaz Árbol académico, José Evaristo Saa Requejo

  • We show the uniqueness of the very singular self-similar solution of the equation ut - ? pum + uq = 0.

    The result is carried out by studying the stationary associate equation and by introducing a suitable change of unknown. That allows to assume the zero-order perturbation term in the new equation to be monotone increasing. A careful study of the behaviour of solutions near the boundary of their support is also used in order to prove the main result.


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