Herrero, Miguel A.Boccardo, L.Tesei, A.2023-06-212023-06-2119870-582-99459-4https://hdl.handle.net/20.500.14352/65475Proceedings of the conference held at the Second Rome University, Rome, April 1–5, 1985The paper surveys some recent results for the one-dimensional nonlinear heat equation with absorption subject to continuous nonnegative initial data with compact support. Without absorption, the equation becomes the porous media equation. (Generalized) solutions with interfaces, source- type solutions and the behavior of the fronts are also discussed.book parthttp://cisne.sim.ucm.es/record=b1056925~S6*spimetadata only access517.9517.956.4Cauchy problemnonlinear heat equationabsorptioncontinuous nonnegative initial datacompact supportporous media equationinterfacessource-type solutionsbehavior of the frontsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias