Herrero, Miguel A.2023-06-212023-06-2119820032-5155https://hdl.handle.net/20.500.14352/64874The 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=[φ(ux)]x, x∈R, t>0, with φ continuous, nondecreasing, φ(0)=0, |φ(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.engjournal articlehttp://purl.pt/3009/1/j-5293-b-vol41-fasc1-4-art22_PDF/j-5293-b-vol41-fasc1-4-art22_PDF_01-B-R0300/j-5293-b-vol41-fasc1-4-art22_0000_capa1-268_t01-B-R0300.pdfhttp://www.emis.ams.org/journals/PM/index.htmlhttp://www.ems-ph.org/journals/journal.php?jrn=pmrestricted access517.9517.956.4Existenceuniquenessgeneralized solutionsregularitypropagation propertiesbehavior of interfacesEcuaciones diferenciales1202.07 Ecuaciones en Diferencias