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Resumen:
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The paper is a nice brief review of fundamental results about the initial value problem for one-dimensional nonlinear degenerate parabolic equations of "porous media'' type: ut=[?(ux)]x, x?R, t>0, with ? continuous, nondecreasing, ?(0)=0, |?(s)|?? as |s|??. The results concern existence, uniqueness and regularity of solutions with initial data u0 in L2 (u0 not necessarily of one sign). When u0?0 has compact support, regularity and growth results of the interfaces demarcating the compact support of the solution are also described.
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