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Herrero, Miguel A. 2023-06-21T02:06:38Z 2023-06-21T02:06:38Z 1982 0032-5155 https://hdl.handle.net/20.500.14352/64874 http://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.pdf http://www.emis.ams.org/journals/PM/index.html http://www.ems-ph.org/journals/journal.php?jrn=pm 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=[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. eng restricted access On a class of nonlinear degenerate parabolic equations journal article